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Finding the Fourth Proportional to 83,081.78, 125,071.58 and 75,850.10

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Solution

The fourth proportional to 83,081.78, 125,071.58 and 75,850.10 is: 114,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,081.78 : 125,071.58 = 75,850.10 : x
  2. Step 2: Convert to fraction form
    83,081.78/125,071.58 = 75,850.10/x
  3. Step 3: Cross multiply
    83,081.78x = 125,071.58 × 75,850.10
  4. Step 4: Simplify right side
    83,081.78x = 9,486,691,850.16
  5. Step 5: Solve for x
    x = 9,486,691,850.16/83,081.78
  6. Step 6: Final answer
    x = 114,184.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.