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Finding the Fourth Proportional to 90,642.80, 135,964.20 and 77,229.20

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Solution

The fourth proportional to 90,642.80, 135,964.20 and 77,229.20 is: 115,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642.80 : 135,964.20 = 77,229.20 : x
  2. Step 2: Convert to fraction form
    90,642.80/135,964.20 = 77,229.20/x
  3. Step 3: Cross multiply
    90,642.80x = 135,964.20 × 77,229.20
  4. Step 4: Simplify right side
    90,642.80x = 10,500,406,394.64
  5. Step 5: Solve for x
    x = 10,500,406,394.64/90,642.80
  6. Step 6: Final answer
    x = 115,843.80

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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.