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Finding the Fourth Proportional to 137,030.20, 205,545.30 and 67,046.20

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Solution

The fourth proportional to 137,030.20, 205,545.30 and 67,046.20 is: 100,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,030.20 : 205,545.30 = 67,046.20 : x
  2. Step 2: Convert to fraction form
    137,030.20/205,545.30 = 67,046.20/x
  3. Step 3: Cross multiply
    137,030.20x = 205,545.30 × 67,046.20
  4. Step 4: Simplify right side
    137,030.20x = 13,781,031,292.86
  5. Step 5: Solve for x
    x = 13,781,031,292.86/137,030.20
  6. Step 6: Final answer
    x = 100,569.30

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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.