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Finding the Fourth Proportional to 67,065.64, 100,613.34 and 25,513

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Solution

The fourth proportional to 67,065.64, 100,613.34 and 25,513 is: 38,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,065.64 : 100,613.34 = 25,513 : x
  2. Step 2: Convert to fraction form
    67,065.64/100,613.34 = 25,513/x
  3. Step 3: Cross multiply
    67,065.64x = 100,613.34 × 25,513
  4. Step 4: Simplify right side
    67,065.64x = 2,566,948,143.42
  5. Step 5: Solve for x
    x = 2,566,948,143.42/67,065.64
  6. Step 6: Final answer
    x = 38,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.