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Finding the Fourth Proportional to 121,760.61, 167,920.86 and 76,442.82

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Solution

The fourth proportional to 121,760.61, 167,920.86 and 76,442.82 is: 105,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,760.61 : 167,920.86 = 76,442.82 : x
  2. Step 2: Convert to fraction form
    121,760.61/167,920.86 = 76,442.82/x
  3. Step 3: Cross multiply
    121,760.61x = 167,920.86 × 76,442.82
  4. Step 4: Simplify right side
    121,760.61x = 12,836,343,158.86
  5. Step 5: Solve for x
    x = 12,836,343,158.86/121,760.61
  6. Step 6: Final answer
    x = 105,422.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.