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Finding the Fourth Proportional to 122,377.80, 183,566.70 and 117,712.20

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Solution

The fourth proportional to 122,377.80, 183,566.70 and 117,712.20 is: 176,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,377.80 : 183,566.70 = 117,712.20 : x
  2. Step 2: Convert to fraction form
    122,377.80/183,566.70 = 117,712.20/x
  3. Step 3: Cross multiply
    122,377.80x = 183,566.70 × 117,712.20
  4. Step 4: Simplify right side
    122,377.80x = 21,608,040,103.74
  5. Step 5: Solve for x
    x = 21,608,040,103.74/122,377.80
  6. Step 6: Final answer
    x = 176,568.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.