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Finding the Fourth Proportional to 100,613.34, 138,845.34 and 58,170.96

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Solution

The fourth proportional to 100,613.34, 138,845.34 and 58,170.96 is: 80,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.34 : 138,845.34 = 58,170.96 : x
  2. Step 2: Convert to fraction form
    100,613.34/138,845.34 = 58,170.96/x
  3. Step 3: Cross multiply
    100,613.34x = 138,845.34 × 58,170.96
  4. Step 4: Simplify right side
    100,613.34x = 8,076,766,719.33
  5. Step 5: Solve for x
    x = 8,076,766,719.33/100,613.34
  6. Step 6: Final answer
    x = 80,275.31

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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.