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Finding the Fourth Proportional to 81,082.88, 121,630.80 and 28,504.16

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Solution

The fourth proportional to 81,082.88, 121,630.80 and 28,504.16 is: 42,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082.88 : 121,630.80 = 28,504.16 : x
  2. Step 2: Convert to fraction form
    81,082.88/121,630.80 = 28,504.16/x
  3. Step 3: Cross multiply
    81,082.88x = 121,630.80 × 28,504.16
  4. Step 4: Simplify right side
    81,082.88x = 3,466,983,784.13
  5. Step 5: Solve for x
    x = 3,466,983,784.13/81,082.88
  6. Step 6: Final answer
    x = 42,758.52

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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.