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Finding the Fourth Proportional to 122,781.14, 169,390 and 69,053.84

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Solution

The fourth proportional to 122,781.14, 169,390 and 69,053.84 is: 95,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,781.14 : 169,390 = 69,053.84 : x
  2. Step 2: Convert to fraction form
    122,781.14/169,390 = 69,053.84/x
  3. Step 3: Cross multiply
    122,781.14x = 169,390 × 69,053.84
  4. Step 4: Simplify right side
    122,781.14x = 11,697,029,957.60
  5. Step 5: Solve for x
    x = 11,697,029,957.60/122,781.14
  6. Step 6: Final answer
    x = 95,267.32

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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.