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Finding the Fourth Proportional to 71,886.74, 107,849.52 and 21,965.47

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Solution

The fourth proportional to 71,886.74, 107,849.52 and 21,965.47 is: 32,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.74 : 107,849.52 = 21,965.47 : x
  2. Step 2: Convert to fraction form
    71,886.74/107,849.52 = 21,965.47/x
  3. Step 3: Cross multiply
    71,886.74x = 107,849.52 × 21,965.47
  4. Step 4: Simplify right side
    71,886.74x = 2,368,965,126.45
  5. Step 5: Solve for x
    x = 2,368,965,126.45/71,886.74
  6. Step 6: Final answer
    x = 32,954.13

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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.