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Finding the Fourth Proportional to 137,999.95, 206,999.93 and 71,569.83

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Solution

The fourth proportional to 137,999.95, 206,999.93 and 71,569.83 is: 107,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,999.95 : 206,999.93 = 71,569.83 : x
  2. Step 2: Convert to fraction form
    137,999.95/206,999.93 = 71,569.83/x
  3. Step 3: Cross multiply
    137,999.95x = 206,999.93 × 71,569.83
  4. Step 4: Simplify right side
    137,999.95x = 14,814,948,407.26
  5. Step 5: Solve for x
    x = 14,814,948,407.26/137,999.95
  6. Step 6: Final answer
    x = 107,354.74

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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.