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Finding the Fourth Proportional to 100,921.96, 151,909.27 and 85,700.44

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Solution

The fourth proportional to 100,921.96, 151,909.27 and 85,700.44 is: 128,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,921.96 : 151,909.27 = 85,700.44 : x
  2. Step 2: Convert to fraction form
    100,921.96/151,909.27 = 85,700.44/x
  3. Step 3: Cross multiply
    100,921.96x = 151,909.27 × 85,700.44
  4. Step 4: Simplify right side
    100,921.96x = 13,018,691,279.08
  5. Step 5: Solve for x
    x = 13,018,691,279.08/100,921.96
  6. Step 6: Final answer
    x = 128,997.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.