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Finding the Fourth Proportional to 122,990.82, 169,740.09 and 75,275.94

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Solution

The fourth proportional to 122,990.82, 169,740.09 and 75,275.94 is: 103,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,990.82 : 169,740.09 = 75,275.94 : x
  2. Step 2: Convert to fraction form
    122,990.82/169,740.09 = 75,275.94/x
  3. Step 3: Cross multiply
    122,990.82x = 169,740.09 × 75,275.94
  4. Step 4: Simplify right side
    122,990.82x = 12,777,344,830.43
  5. Step 5: Solve for x
    x = 12,777,344,830.43/122,990.82
  6. Step 6: Final answer
    x = 103,888.61

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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.