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Finding the Fourth Proportional to 81,101.80, 121,569.90 and 54,809.20

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Solution

The fourth proportional to 81,101.80, 121,569.90 and 54,809.20 is: 82,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,101.80 : 121,569.90 = 54,809.20 : x
  2. Step 2: Convert to fraction form
    81,101.80/121,569.90 = 54,809.20/x
  3. Step 3: Cross multiply
    81,101.80x = 121,569.90 × 54,809.20
  4. Step 4: Simplify right side
    81,101.80x = 6,663,148,963.08
  5. Step 5: Solve for x
    x = 6,663,148,963.08/81,101.80
  6. Step 6: Final answer
    x = 82,157.84

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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.