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Finding the Fourth Proportional to 67,842.28, 101,728.86 and 45,689.32

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Solution

The fourth proportional to 67,842.28, 101,728.86 and 45,689.32 is: 68,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.28 : 101,728.86 = 45,689.32 : x
  2. Step 2: Convert to fraction form
    67,842.28/101,728.86 = 45,689.32/x
  3. Step 3: Cross multiply
    67,842.28x = 101,728.86 × 45,689.32
  4. Step 4: Simplify right side
    67,842.28x = 4,647,922,437.78
  5. Step 5: Solve for x
    x = 4,647,922,437.78/67,842.28
  6. Step 6: Final answer
    x = 68,510.71

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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.