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Finding the Fourth Proportional to 137,999.85, 206,886.65 and 71,458.94

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Solution

The fourth proportional to 137,999.85, 206,886.65 and 71,458.94 is: 107,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,999.85 : 206,886.65 = 71,458.94 : x
  2. Step 2: Convert to fraction form
    137,999.85/206,886.65 = 71,458.94/x
  3. Step 3: Cross multiply
    137,999.85x = 206,886.65 × 71,458.94
  4. Step 4: Simplify right side
    137,999.85x = 14,783,899,317.42
  5. Step 5: Solve for x
    x = 14,783,899,317.42/137,999.85
  6. Step 6: Final answer
    x = 107,129.82

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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.