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Finding the Fourth Proportional to 97,434.30, 146,151.45 and 81,687.90

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Solution

The fourth proportional to 97,434.30, 146,151.45 and 81,687.90 is: 122,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,434.30 : 146,151.45 = 81,687.90 : x
  2. Step 2: Convert to fraction form
    97,434.30/146,151.45 = 81,687.90/x
  3. Step 3: Cross multiply
    97,434.30x = 146,151.45 × 81,687.90
  4. Step 4: Simplify right side
    97,434.30x = 11,938,805,032.46
  5. Step 5: Solve for x
    x = 11,938,805,032.46/97,434.30
  6. Step 6: Final answer
    x = 122,531.85

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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.