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Finding the Fourth Proportional to 97,414.40, 146,121.60 and 81,011.90

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Solution

The fourth proportional to 97,414.40, 146,121.60 and 81,011.90 is: 121,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,414.40 : 146,121.60 = 81,011.90 : x
  2. Step 2: Convert to fraction form
    97,414.40/146,121.60 = 81,011.90/x
  3. Step 3: Cross multiply
    97,414.40x = 146,121.60 × 81,011.90
  4. Step 4: Simplify right side
    97,414.40x = 11,837,588,447.04
  5. Step 5: Solve for x
    x = 11,837,588,447.04/97,414.40
  6. Step 6: Final answer
    x = 121,517.85

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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.