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Finding the Fourth Proportional to 121,282.70, 181,729.65 and 76,829.90

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Solution

The fourth proportional to 121,282.70, 181,729.65 and 76,829.90 is: 115,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,282.70 : 181,729.65 = 76,829.90 : x
  2. Step 2: Convert to fraction form
    121,282.70/181,729.65 = 76,829.90/x
  3. Step 3: Cross multiply
    121,282.70x = 181,729.65 × 76,829.90
  4. Step 4: Simplify right side
    121,282.70x = 13,962,270,836.54
  5. Step 5: Solve for x
    x = 13,962,270,836.54/121,282.70
  6. Step 6: Final answer
    x = 115,121.70

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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.