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Finding the Fourth Proportional to 57,672.30, 86,508.45 and 31,428.30

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Solution

The fourth proportional to 57,672.30, 86,508.45 and 31,428.30 is: 47,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672.30 : 86,508.45 = 31,428.30 : x
  2. Step 2: Convert to fraction form
    57,672.30/86,508.45 = 31,428.30/x
  3. Step 3: Cross multiply
    57,672.30x = 86,508.45 × 31,428.30
  4. Step 4: Simplify right side
    57,672.30x = 2,718,813,519.14
  5. Step 5: Solve for x
    x = 2,718,813,519.14/57,672.30
  6. Step 6: Final answer
    x = 47,142.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.