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Finding the Fourth Proportional to 100,379.89, 138,471.77 and 59,520.24

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Solution

The fourth proportional to 100,379.89, 138,471.77 and 59,520.24 is: 82,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,379.89 : 138,471.77 = 59,520.24 : x
  2. Step 2: Convert to fraction form
    100,379.89/138,471.77 = 59,520.24/x
  3. Step 3: Cross multiply
    100,379.89x = 138,471.77 × 59,520.24
  4. Step 4: Simplify right side
    100,379.89x = 8,241,872,613.16
  5. Step 5: Solve for x
    x = 8,241,872,613.16/100,379.89
  6. Step 6: Final answer
    x = 82,106.81

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1.5x scale

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.