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Finding the Fourth Proportional to 75,272.80, 112,891.20 and 43,614.40

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Solution

The fourth proportional to 75,272.80, 112,891.20 and 43,614.40 is: 65,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,272.80 : 112,891.20 = 43,614.40 : x
  2. Step 2: Convert to fraction form
    75,272.80/112,891.20 = 43,614.40/x
  3. Step 3: Cross multiply
    75,272.80x = 112,891.20 × 43,614.40
  4. Step 4: Simplify right side
    75,272.80x = 4,923,681,953.28
  5. Step 5: Solve for x
    x = 4,923,681,953.28/75,272.80
  6. Step 6: Final answer
    x = 65,411.17

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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.