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Finding the Fourth Proportional to 121,282.20, 181,728.90 and 76,829.40

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Solution

The fourth proportional to 121,282.20, 181,728.90 and 76,829.40 is: 115,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,282.20 : 181,728.90 = 76,829.40 : x
  2. Step 2: Convert to fraction form
    121,282.20/181,728.90 = 76,829.40/x
  3. Step 3: Cross multiply
    121,282.20x = 181,728.90 × 76,829.40
  4. Step 4: Simplify right side
    121,282.20x = 13,962,122,349.66
  5. Step 5: Solve for x
    x = 13,962,122,349.66/121,282.20
  6. Step 6: Final answer
    x = 115,120.95

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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.