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Finding the Fourth Proportional to 71,965.94, 108,013.10 and 71,698.01

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Solution

The fourth proportional to 71,965.94, 108,013.10 and 71,698.01 is: 107,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,965.94 : 108,013.10 = 71,698.01 : x
  2. Step 2: Convert to fraction form
    71,965.94/108,013.10 = 71,698.01/x
  3. Step 3: Cross multiply
    71,965.94x = 108,013.10 × 71,698.01
  4. Step 4: Simplify right side
    71,965.94x = 7,744,323,425.38
  5. Step 5: Solve for x
    x = 7,744,323,425.38/71,965.94
  6. Step 6: Final answer
    x = 107,610.96

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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.