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Finding the Fourth Proportional to 147,459.43, 203,491.57 and 82,045.81

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Solution

The fourth proportional to 147,459.43, 203,491.57 and 82,045.81 is: 113,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,459.43 : 203,491.57 = 82,045.81 : x
  2. Step 2: Convert to fraction form
    147,459.43/203,491.57 = 82,045.81/x
  3. Step 3: Cross multiply
    147,459.43x = 203,491.57 × 82,045.81
  4. Step 4: Simplify right side
    147,459.43x = 16,695,629,671.36
  5. Step 5: Solve for x
    x = 16,695,629,671.36/147,459.43
  6. Step 6: Final answer
    x = 113,221.85

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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.