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Finding the Fourth Proportional to 138,421.20, 207,862.20 and 76,136.40

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Solution

The fourth proportional to 138,421.20, 207,862.20 and 76,136.40 is: 114,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.20 : 207,862.20 = 76,136.40 : x
  2. Step 2: Convert to fraction form
    138,421.20/207,862.20 = 76,136.40/x
  3. Step 3: Cross multiply
    138,421.20x = 207,862.20 × 76,136.40
  4. Step 4: Simplify right side
    138,421.20x = 15,825,879,604.08
  5. Step 5: Solve for x
    x = 15,825,879,604.08/138,421.20
  6. Step 6: Final answer
    x = 114,331.33

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1.5x scale

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.