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Finding the Fourth Proportional to 138,714.80, 191,426.49 and 75,052.71

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Solution

The fourth proportional to 138,714.80, 191,426.49 and 75,052.71 is: 103,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.80 : 191,426.49 = 75,052.71 : x
  2. Step 2: Convert to fraction form
    138,714.80/191,426.49 = 75,052.71/x
  3. Step 3: Cross multiply
    138,714.80x = 191,426.49 × 75,052.71
  4. Step 4: Simplify right side
    138,714.80x = 14,367,076,840.29
  5. Step 5: Solve for x
    x = 14,367,076,840.29/138,714.80
  6. Step 6: Final answer
    x = 103,572.78

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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.