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Finding the Fourth Proportional to 71,964, 107,963.28 and 22,716

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Solution

The fourth proportional to 71,964, 107,963.28 and 22,716 is: 34,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964 : 107,963.28 = 22,716 : x
  2. Step 2: Convert to fraction form
    71,964/107,963.28 = 22,716/x
  3. Step 3: Cross multiply
    71,964x = 107,963.28 × 22,716
  4. Step 4: Simplify right side
    71,964x = 2,452,493,868.48
  5. Step 5: Solve for x
    x = 2,452,493,868.48/71,964
  6. Step 6: Final answer
    x = 34,079.45

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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.