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Finding the Fourth Proportional to 123,713.56, 185,568.18 and 85,727.80

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Solution

The fourth proportional to 123,713.56, 185,568.18 and 85,727.80 is: 128,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,713.56 : 185,568.18 = 85,727.80 : x
  2. Step 2: Convert to fraction form
    123,713.56/185,568.18 = 85,727.80/x
  3. Step 3: Cross multiply
    123,713.56x = 185,568.18 × 85,727.80
  4. Step 4: Simplify right side
    123,713.56x = 15,908,351,821.40
  5. Step 5: Solve for x
    x = 15,908,351,821.40/123,713.56
  6. Step 6: Final answer
    x = 128,590.20

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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.