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Finding the Fourth Proportional to 100,613.92, 138,847.12 and 55,294.81

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Solution

The fourth proportional to 100,613.92, 138,847.12 and 55,294.81 is: 76,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.92 : 138,847.12 = 55,294.81 : x
  2. Step 2: Convert to fraction form
    100,613.92/138,847.12 = 55,294.81/x
  3. Step 3: Cross multiply
    100,613.92x = 138,847.12 × 55,294.81
  4. Step 4: Simplify right side
    100,613.92x = 7,677,525,119.45
  5. Step 5: Solve for x
    x = 7,677,525,119.45/100,613.92
  6. Step 6: Final answer
    x = 76,306.79

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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.