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Finding the Fourth Proportional to 145,363.52, 200,593.88 and 81,697.20

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Solution

The fourth proportional to 145,363.52, 200,593.88 and 81,697.20 is: 112,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,363.52 : 200,593.88 = 81,697.20 : x
  2. Step 2: Convert to fraction form
    145,363.52/200,593.88 = 81,697.20/x
  3. Step 3: Cross multiply
    145,363.52x = 200,593.88 × 81,697.20
  4. Step 4: Simplify right side
    145,363.52x = 16,387,958,333.14
  5. Step 5: Solve for x
    x = 16,387,958,333.14/145,363.52
  6. Step 6: Final answer
    x = 112,737.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.