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Finding the Fourth Proportional to 123,761.80, 185,642.70 and 81,771.40

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Solution

The fourth proportional to 123,761.80, 185,642.70 and 81,771.40 is: 122,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,761.80 : 185,642.70 = 81,771.40 : x
  2. Step 2: Convert to fraction form
    123,761.80/185,642.70 = 81,771.40/x
  3. Step 3: Cross multiply
    123,761.80x = 185,642.70 × 81,771.40
  4. Step 4: Simplify right side
    123,761.80x = 15,180,263,478.78
  5. Step 5: Solve for x
    x = 15,180,263,478.78/123,761.80
  6. Step 6: Final answer
    x = 122,657.10

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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.