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Finding the Fourth Proportional to 137,123.88, 205,672.86 and 43,613.16

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Solution

The fourth proportional to 137,123.88, 205,672.86 and 43,613.16 is: 65,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,123.88 : 205,672.86 = 43,613.16 : x
  2. Step 2: Convert to fraction form
    137,123.88/205,672.86 = 43,613.16/x
  3. Step 3: Cross multiply
    137,123.88x = 205,672.86 × 43,613.16
  4. Step 4: Simplify right side
    137,123.88x = 8,970,043,350.84
  5. Step 5: Solve for x
    x = 8,970,043,350.84/137,123.88
  6. Step 6: Final answer
    x = 65,415.62

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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.