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Finding the Fourth Proportional to 137,963.66, 206,944.98 and 38,123.66

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Solution

The fourth proportional to 137,963.66, 206,944.98 and 38,123.66 is: 57,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963.66 : 206,944.98 = 38,123.66 : x
  2. Step 2: Convert to fraction form
    137,963.66/206,944.98 = 38,123.66/x
  3. Step 3: Cross multiply
    137,963.66x = 206,944.98 × 38,123.66
  4. Step 4: Simplify right side
    137,963.66x = 7,889,500,430.63
  5. Step 5: Solve for x
    x = 7,889,500,430.63/137,963.66
  6. Step 6: Final answer
    x = 57,185.35

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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.