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Finding the Fourth Proportional to 71,804.12, 107,721.71 and 21,882.90

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Solution

The fourth proportional to 71,804.12, 107,721.71 and 21,882.90 is: 32,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804.12 : 107,721.71 = 21,882.90 : x
  2. Step 2: Convert to fraction form
    71,804.12/107,721.71 = 21,882.90/x
  3. Step 3: Cross multiply
    71,804.12x = 107,721.71 × 21,882.90
  4. Step 4: Simplify right side
    71,804.12x = 2,357,262,923.86
  5. Step 5: Solve for x
    x = 2,357,262,923.86/71,804.12
  6. Step 6: Final answer
    x = 32,829.08

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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.