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Finding the Fourth Proportional to 100,044.86, 138,056.76 and 54,714.02

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Solution

The fourth proportional to 100,044.86, 138,056.76 and 54,714.02 is: 75,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044.86 : 138,056.76 = 54,714.02 : x
  2. Step 2: Convert to fraction form
    100,044.86/138,056.76 = 54,714.02/x
  3. Step 3: Cross multiply
    100,044.86x = 138,056.76 × 54,714.02
  4. Step 4: Simplify right side
    100,044.86x = 7,553,640,672.92
  5. Step 5: Solve for x
    x = 7,553,640,672.92/100,044.86
  6. Step 6: Final answer
    x = 75,502.53

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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.