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Finding the Fourth Proportional to 201,854,286.46, 278,559,037.34 and 109,034,835.30

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Solution

The fourth proportional to 201,854,286.46, 278,559,037.34 and 109,034,835.30 is: 150,468,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,854,286.46 : 278,559,037.34 = 109,034,835.30 : x
  2. Step 2: Convert to fraction form
    201,854,286.46/278,559,037.34 = 109,034,835.30/x
  3. Step 3: Cross multiply
    201,854,286.46x = 278,559,037.34 × 109,034,835.30
  4. Step 4: Simplify right side
    201,854,286.46x = 30,372,638,757,693,448
  5. Step 5: Solve for x
    x = 30,372,638,757,693,448/201,854,286.46
  6. Step 6: Final answer
    x = 150,468,138.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.