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Finding the Fourth Proportional to 72,891.47, 109,243.35 and 35,378.96

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Solution

The fourth proportional to 72,891.47, 109,243.35 and 35,378.96 is: 53,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,891.47 : 109,243.35 = 35,378.96 : x
  2. Step 2: Convert to fraction form
    72,891.47/109,243.35 = 35,378.96/x
  3. Step 3: Cross multiply
    72,891.47x = 109,243.35 × 35,378.96
  4. Step 4: Simplify right side
    72,891.47x = 3,864,915,563.70
  5. Step 5: Solve for x
    x = 3,864,915,563.70/72,891.47
  6. Step 6: Final answer
    x = 53,022.88

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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.