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Finding the Fourth Proportional to 147,402.74, 221,082.51 and 72,502.78

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Solution

The fourth proportional to 147,402.74, 221,082.51 and 72,502.78 is: 108,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,402.74 : 221,082.51 = 72,502.78 : x
  2. Step 2: Convert to fraction form
    147,402.74/221,082.51 = 72,502.78/x
  3. Step 3: Cross multiply
    147,402.74x = 221,082.51 × 72,502.78
  4. Step 4: Simplify right side
    147,402.74x = 16,029,096,584.38
  5. Step 5: Solve for x
    x = 16,029,096,584.38/147,402.74
  6. Step 6: Final answer
    x = 108,743.55

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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.