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Finding the Fourth Proportional to 99,702.36, 149,581.80 and 40,580.46

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Solution

The fourth proportional to 99,702.36, 149,581.80 and 40,580.46 is: 60,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702.36 : 149,581.80 = 40,580.46 : x
  2. Step 2: Convert to fraction form
    99,702.36/149,581.80 = 40,580.46/x
  3. Step 3: Cross multiply
    99,702.36x = 149,581.80 × 40,580.46
  4. Step 4: Simplify right side
    99,702.36x = 6,070,098,251.63
  5. Step 5: Solve for x
    x = 6,070,098,251.63/99,702.36
  6. Step 6: Final answer
    x = 60,882.19

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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.