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Finding the Fourth Proportional to 243,013.53, 364,581.80 and 74,542.43

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Solution

The fourth proportional to 243,013.53, 364,581.80 and 74,542.43 is: 111,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013.53 : 364,581.80 = 74,542.43 : x
  2. Step 2: Convert to fraction form
    243,013.53/364,581.80 = 74,542.43/x
  3. Step 3: Cross multiply
    243,013.53x = 364,581.80 × 74,542.43
  4. Step 4: Simplify right side
    243,013.53x = 27,176,812,282.93
  5. Step 5: Solve for x
    x = 27,176,812,282.93/243,013.53
  6. Step 6: Final answer
    x = 111,832.51

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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.