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Finding the Fourth Proportional to 137,141.80, 205,712.70 and 119,645.80

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Solution

The fourth proportional to 137,141.80, 205,712.70 and 119,645.80 is: 179,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.80 : 205,712.70 = 119,645.80 : x
  2. Step 2: Convert to fraction form
    137,141.80/205,712.70 = 119,645.80/x
  3. Step 3: Cross multiply
    137,141.80x = 205,712.70 × 119,645.80
  4. Step 4: Simplify right side
    137,141.80x = 24,612,660,561.66
  5. Step 5: Solve for x
    x = 24,612,660,561.66/137,141.80
  6. Step 6: Final answer
    x = 179,468.70

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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.