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Finding the Fourth Proportional to 81,159.80, 121,656.90 and 54,867.20

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Solution

The fourth proportional to 81,159.80, 121,656.90 and 54,867.20 is: 82,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,159.80 : 121,656.90 = 54,867.20 : x
  2. Step 2: Convert to fraction form
    81,159.80/121,656.90 = 54,867.20/x
  3. Step 3: Cross multiply
    81,159.80x = 121,656.90 × 54,867.20
  4. Step 4: Simplify right side
    81,159.80x = 6,674,973,463.68
  5. Step 5: Solve for x
    x = 6,674,973,463.68/81,159.80
  6. Step 6: Final answer
    x = 82,244.82

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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.