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Finding the Fourth Proportional to 243,013.28, 364,530.96 and 74,521.28

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Solution

The fourth proportional to 243,013.28, 364,530.96 and 74,521.28 is: 111,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013.28 : 364,530.96 = 74,521.28 : x
  2. Step 2: Convert to fraction form
    243,013.28/364,530.96 = 74,521.28/x
  3. Step 3: Cross multiply
    243,013.28x = 364,530.96 × 74,521.28
  4. Step 4: Simplify right side
    243,013.28x = 27,165,313,738.83
  5. Step 5: Solve for x
    x = 27,165,313,738.83/243,013.28
  6. Step 6: Final answer
    x = 111,785.31

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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.