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Finding the Fourth Proportional to 230,042, 345,063 and 63,830

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Solution

The fourth proportional to 230,042, 345,063 and 63,830 is: 95,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042 : 345,063 = 63,830 : x
  2. Step 2: Convert to fraction form
    230,042/345,063 = 63,830/x
  3. Step 3: Cross multiply
    230,042x = 345,063 × 63,830
  4. Step 4: Simplify right side
    230,042x = 22,025,371,290
  5. Step 5: Solve for x
    x = 22,025,371,290/230,042
  6. Step 6: Final answer
    x = 95,745

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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.