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Finding the Fourth Proportional to 81,041.76, 121,567.32 and 21,882.20

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Solution

The fourth proportional to 81,041.76, 121,567.32 and 21,882.20 is: 32,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,041.76 : 121,567.32 = 21,882.20 : x
  2. Step 2: Convert to fraction form
    81,041.76/121,567.32 = 21,882.20/x
  3. Step 3: Cross multiply
    81,041.76x = 121,567.32 × 21,882.20
  4. Step 4: Simplify right side
    81,041.76x = 2,660,159,801.87
  5. Step 5: Solve for x
    x = 2,660,159,801.87/81,041.76
  6. Step 6: Final answer
    x = 32,824.56

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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.