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Finding the Fourth Proportional to 213,766.20, 320,437.80 and 101,248.65

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Solution

The fourth proportional to 213,766.20, 320,437.80 and 101,248.65 is: 151,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,766.20 : 320,437.80 = 101,248.65 : x
  2. Step 2: Convert to fraction form
    213,766.20/320,437.80 = 101,248.65/x
  3. Step 3: Cross multiply
    213,766.20x = 320,437.80 × 101,248.65
  4. Step 4: Simplify right side
    213,766.20x = 32,443,894,658.97
  5. Step 5: Solve for x
    x = 32,443,894,658.97/213,766.20
  6. Step 6: Final answer
    x = 151,772.80

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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.