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Finding the Fourth Proportional to 230,472.69, 345,720.05 and 112,002.90

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Solution

The fourth proportional to 230,472.69, 345,720.05 and 112,002.90 is: 168,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,472.69 : 345,720.05 = 112,002.90 : x
  2. Step 2: Convert to fraction form
    230,472.69/345,720.05 = 112,002.90/x
  3. Step 3: Cross multiply
    230,472.69x = 345,720.05 × 112,002.90
  4. Step 4: Simplify right side
    230,472.69x = 38,721,647,628.13
  5. Step 5: Solve for x
    x = 38,721,647,628.13/230,472.69
  6. Step 6: Final answer
    x = 168,009.70

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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.