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Finding the Fourth Proportional to 71,704.36, 107,476.86 and 54,117.16

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Solution

The fourth proportional to 71,704.36, 107,476.86 and 54,117.16 is: 81,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.36 : 107,476.86 = 54,117.16 : x
  2. Step 2: Convert to fraction form
    71,704.36/107,476.86 = 54,117.16/x
  3. Step 3: Cross multiply
    71,704.36x = 107,476.86 × 54,117.16
  4. Step 4: Simplify right side
    71,704.36x = 5,816,342,428.92
  5. Step 5: Solve for x
    x = 5,816,342,428.92/71,704.36
  6. Step 6: Final answer
    x = 81,115.60

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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.