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Finding the Fourth Proportional to 122,760.86, 169,408.31 and 69,045.86

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Solution

The fourth proportional to 122,760.86, 169,408.31 and 69,045.86 is: 95,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760.86 : 169,408.31 = 69,045.86 : x
  2. Step 2: Convert to fraction form
    122,760.86/169,408.31 = 69,045.86/x
  3. Step 3: Cross multiply
    122,760.86x = 169,408.31 × 69,045.86
  4. Step 4: Simplify right side
    122,760.86x = 11,696,941,780.67
  5. Step 5: Solve for x
    x = 11,696,941,780.67/122,760.86
  6. Step 6: Final answer
    x = 95,282.34

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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.