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Finding the Fourth Proportional to 100,614.34, 138,846.72 and 58,171.96

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Solution

The fourth proportional to 100,614.34, 138,846.72 and 58,171.96 is: 80,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.34 : 138,846.72 = 58,171.96 : x
  2. Step 2: Convert to fraction form
    100,614.34/138,846.72 = 58,171.96/x
  3. Step 3: Cross multiply
    100,614.34x = 138,846.72 × 58,171.96
  4. Step 4: Simplify right side
    100,614.34x = 8,076,985,841.97
  5. Step 5: Solve for x
    x = 8,076,985,841.97/100,614.34
  6. Step 6: Final answer
    x = 80,276.69

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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.