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Finding the Fourth Proportional to 230,470.62, 345,705.84 and 72,711.42

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Solution

The fourth proportional to 230,470.62, 345,705.84 and 72,711.42 is: 109,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,470.62 : 345,705.84 = 72,711.42 : x
  2. Step 2: Convert to fraction form
    230,470.62/345,705.84 = 72,711.42/x
  3. Step 3: Cross multiply
    230,470.62x = 345,705.84 × 72,711.42
  4. Step 4: Simplify right side
    230,470.62x = 25,136,762,528.69
  5. Step 5: Solve for x
    x = 25,136,762,528.69/230,470.62
  6. Step 6: Final answer
    x = 109,067.10

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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.