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Finding the Fourth Proportional to 272,082.64, 408,123.36 and 72,403.04

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Solution

The fourth proportional to 272,082.64, 408,123.36 and 72,403.04 is: 108,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,082.64 : 408,123.36 = 72,403.04 : x
  2. Step 2: Convert to fraction form
    272,082.64/408,123.36 = 72,403.04/x
  3. Step 3: Cross multiply
    272,082.64x = 408,123.36 × 72,403.04
  4. Step 4: Simplify right side
    272,082.64x = 29,549,371,959.01
  5. Step 5: Solve for x
    x = 29,549,371,959.01/272,082.64
  6. Step 6: Final answer
    x = 108,604.40

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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.