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Finding the Fourth Proportional to 121,443.74, 182,005.65 and 68,134.70

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Solution

The fourth proportional to 121,443.74, 182,005.65 and 68,134.70 is: 102,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,443.74 : 182,005.65 = 68,134.70 : x
  2. Step 2: Convert to fraction form
    121,443.74/182,005.65 = 68,134.70/x
  3. Step 3: Cross multiply
    121,443.74x = 182,005.65 × 68,134.70
  4. Step 4: Simplify right side
    121,443.74x = 12,400,899,451.03
  5. Step 5: Solve for x
    x = 12,400,899,451.03/121,443.74
  6. Step 6: Final answer
    x = 102,112.30

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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.