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Finding the Fourth Proportional to 200,489.04, 300,616.80 and 75,839.76

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Solution

The fourth proportional to 200,489.04, 300,616.80 and 75,839.76 is: 113,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.04 : 300,616.80 = 75,839.76 : x
  2. Step 2: Convert to fraction form
    200,489.04/300,616.80 = 75,839.76/x
  3. Step 3: Cross multiply
    200,489.04x = 300,616.80 × 75,839.76
  4. Step 4: Simplify right side
    200,489.04x = 22,798,705,963.97
  5. Step 5: Solve for x
    x = 22,798,705,963.97/200,489.04
  6. Step 6: Final answer
    x = 113,715.47

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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.