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Finding the Fourth Proportional to 67,851.68, 101,728.31 and 45,609.89

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Solution

The fourth proportional to 67,851.68, 101,728.31 and 45,609.89 is: 68,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851.68 : 101,728.31 = 45,609.89 : x
  2. Step 2: Convert to fraction form
    67,851.68/101,728.31 = 45,609.89/x
  3. Step 3: Cross multiply
    67,851.68x = 101,728.31 × 45,609.89
  4. Step 4: Simplify right side
    67,851.68x = 4,639,816,292.29
  5. Step 5: Solve for x
    x = 4,639,816,292.29/67,851.68
  6. Step 6: Final answer
    x = 68,381.75

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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.