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Finding the Fourth Proportional to 157,167.50, 216,885.13 and 89,180.42

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Solution

The fourth proportional to 157,167.50, 216,885.13 and 89,180.42 is: 123,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,167.50 : 216,885.13 = 89,180.42 : x
  2. Step 2: Convert to fraction form
    157,167.50/216,885.13 = 89,180.42/x
  3. Step 3: Cross multiply
    157,167.50x = 216,885.13 × 89,180.42
  4. Step 4: Simplify right side
    157,167.50x = 19,341,905,677.78
  5. Step 5: Solve for x
    x = 19,341,905,677.78/157,167.50
  6. Step 6: Final answer
    x = 123,065.55

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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.