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Finding the Fourth Proportional to 99,470.82, 149,151.70 and 39,438.48

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Solution

The fourth proportional to 99,470.82, 149,151.70 and 39,438.48 is: 59,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470.82 : 149,151.70 = 39,438.48 : x
  2. Step 2: Convert to fraction form
    99,470.82/149,151.70 = 39,438.48/x
  3. Step 3: Cross multiply
    99,470.82x = 149,151.70 × 39,438.48
  4. Step 4: Simplify right side
    99,470.82x = 5,882,316,337.42
  5. Step 5: Solve for x
    x = 5,882,316,337.42/99,470.82
  6. Step 6: Final answer
    x = 59,136.10

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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.