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Finding the Fourth Proportional to 137,878.57, 206,862.45 and 67,708.72

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Solution

The fourth proportional to 137,878.57, 206,862.45 and 67,708.72 is: 101,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.57 : 206,862.45 = 67,708.72 : x
  2. Step 2: Convert to fraction form
    137,878.57/206,862.45 = 67,708.72/x
  3. Step 3: Cross multiply
    137,878.57x = 206,862.45 × 67,708.72
  4. Step 4: Simplify right side
    137,878.57x = 14,006,391,705.56
  5. Step 5: Solve for x
    x = 14,006,391,705.56/137,878.57
  6. Step 6: Final answer
    x = 101,584.98

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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.