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Finding the Fourth Proportional to 508,082.24, 762,123.68 and 129,031.40

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Solution

The fourth proportional to 508,082.24, 762,123.68 and 129,031.40 is: 193,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,082.24 : 762,123.68 = 129,031.40 : x
  2. Step 2: Convert to fraction form
    508,082.24/762,123.68 = 129,031.40/x
  3. Step 3: Cross multiply
    508,082.24x = 762,123.68 × 129,031.40
  4. Step 4: Simplify right side
    508,082.24x = 98,337,883,586.43
  5. Step 5: Solve for x
    x = 98,337,883,586.43/508,082.24
  6. Step 6: Final answer
    x = 193,547.18

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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.