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Finding the Fourth Proportional to 73,612.80, 110,419.20 and 51,451.20

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Solution

The fourth proportional to 73,612.80, 110,419.20 and 51,451.20 is: 77,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,612.80 : 110,419.20 = 51,451.20 : x
  2. Step 2: Convert to fraction form
    73,612.80/110,419.20 = 51,451.20/x
  3. Step 3: Cross multiply
    73,612.80x = 110,419.20 × 51,451.20
  4. Step 4: Simplify right side
    73,612.80x = 5,681,200,343.04
  5. Step 5: Solve for x
    x = 5,681,200,343.04/73,612.80
  6. Step 6: Final answer
    x = 77,176.80

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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.