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Finding the Fourth Proportional to 137,138.61, 205,633.94 and 62,217.87

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Solution

The fourth proportional to 137,138.61, 205,633.94 and 62,217.87 is: 93,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.61 : 205,633.94 = 62,217.87 : x
  2. Step 2: Convert to fraction form
    137,138.61/205,633.94 = 62,217.87/x
  3. Step 3: Cross multiply
    137,138.61x = 205,633.94 × 62,217.87
  4. Step 4: Simplify right side
    137,138.61x = 12,794,105,645.01
  5. Step 5: Solve for x
    x = 12,794,105,645.01/137,138.61
  6. Step 6: Final answer
    x = 93,293.25

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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.