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Finding the Fourth Proportional to 173,978.74, 260,640.78 and 136,424.80

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Solution

The fourth proportional to 173,978.74, 260,640.78 and 136,424.80 is: 204,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,978.74 : 260,640.78 = 136,424.80 : x
  2. Step 2: Convert to fraction form
    173,978.74/260,640.78 = 136,424.80/x
  3. Step 3: Cross multiply
    173,978.74x = 260,640.78 × 136,424.80
  4. Step 4: Simplify right side
    173,978.74x = 35,557,866,283.34
  5. Step 5: Solve for x
    x = 35,557,866,283.34/173,978.74
  6. Step 6: Final answer
    x = 204,380.53

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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.