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Finding the Fourth Proportional to 145,523.76, 200,822 and 81,862

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Solution

The fourth proportional to 145,523.76, 200,822 and 81,862 is: 112,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.76 : 200,822 = 81,862 : x
  2. Step 2: Convert to fraction form
    145,523.76/200,822 = 81,862/x
  3. Step 3: Cross multiply
    145,523.76x = 200,822 × 81,862
  4. Step 4: Simplify right side
    145,523.76x = 16,439,690,564
  5. Step 5: Solve for x
    x = 16,439,690,564/145,523.76
  6. Step 6: Final answer
    x = 112,969.12

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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.