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Finding the Fourth Proportional to 137,877.57, 206,860.95 and 67,707.72

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Solution

The fourth proportional to 137,877.57, 206,860.95 and 67,707.72 is: 101,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,877.57 : 206,860.95 = 67,707.72 : x
  2. Step 2: Convert to fraction form
    137,877.57/206,860.95 = 67,707.72/x
  3. Step 3: Cross multiply
    137,877.57x = 206,860.95 × 67,707.72
  4. Step 4: Simplify right side
    137,877.57x = 14,006,083,281.53
  5. Step 5: Solve for x
    x = 14,006,083,281.53/137,877.57
  6. Step 6: Final answer
    x = 101,583.48

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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.