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Finding the Fourth Proportional to 252,691.56, 348,708.92 and 137,965.77

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Solution

The fourth proportional to 252,691.56, 348,708.92 and 137,965.77 is: 190,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,691.56 : 348,708.92 = 137,965.77 : x
  2. Step 2: Convert to fraction form
    252,691.56/348,708.92 = 137,965.77/x
  3. Step 3: Cross multiply
    252,691.56x = 348,708.92 × 137,965.77
  4. Step 4: Simplify right side
    252,691.56x = 48,109,893,963.84
  5. Step 5: Solve for x
    x = 48,109,893,963.84/252,691.56
  6. Step 6: Final answer
    x = 190,389.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.