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Finding the Fourth Proportional to 201,753.32, 278,408.90 and 115,707.86

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Solution

The fourth proportional to 201,753.32, 278,408.90 and 115,707.86 is: 159,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753.32 : 278,408.90 = 115,707.86 : x
  2. Step 2: Convert to fraction form
    201,753.32/278,408.90 = 115,707.86/x
  3. Step 3: Cross multiply
    201,753.32x = 278,408.90 × 115,707.86
  4. Step 4: Simplify right side
    201,753.32x = 32,214,096,053.37
  5. Step 5: Solve for x
    x = 32,214,096,053.37/201,753.32
  6. Step 6: Final answer
    x = 159,670.71

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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.