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Finding the Fourth Proportional to 122,761.86, 169,409.69 and 69,046.86

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Solution

The fourth proportional to 122,761.86, 169,409.69 and 69,046.86 is: 95,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,761.86 : 169,409.69 = 69,046.86 : x
  2. Step 2: Convert to fraction form
    122,761.86/169,409.69 = 69,046.86/x
  3. Step 3: Cross multiply
    122,761.86x = 169,409.69 × 69,046.86
  4. Step 4: Simplify right side
    122,761.86x = 11,697,207,148.07
  5. Step 5: Solve for x
    x = 11,697,207,148.07/122,761.86
  6. Step 6: Final answer
    x = 95,283.72

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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.