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Finding the Fourth Proportional to 139,540.38, 192,564.75 and 75,878.20

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Solution

The fourth proportional to 139,540.38, 192,564.75 and 75,878.20 is: 104,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,540.38 : 192,564.75 = 75,878.20 : x
  2. Step 2: Convert to fraction form
    139,540.38/192,564.75 = 75,878.20/x
  3. Step 3: Cross multiply
    139,540.38x = 192,564.75 × 75,878.20
  4. Step 4: Simplify right side
    139,540.38x = 14,611,466,613.45
  5. Step 5: Solve for x
    x = 14,611,466,613.45/139,540.38
  6. Step 6: Final answer
    x = 104,711.39

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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.