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Finding the Fourth Proportional to 99,812.30, 149,545.65 and 64,733.90

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Solution

The fourth proportional to 99,812.30, 149,545.65 and 64,733.90 is: 96,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.30 : 149,545.65 = 64,733.90 : x
  2. Step 2: Convert to fraction form
    99,812.30/149,545.65 = 64,733.90/x
  3. Step 3: Cross multiply
    99,812.30x = 149,545.65 × 64,733.90
  4. Step 4: Simplify right side
    99,812.30x = 9,680,673,152.54
  5. Step 5: Solve for x
    x = 9,680,673,152.54/99,812.30
  6. Step 6: Final answer
    x = 96,988.78

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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.