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Finding the Fourth Proportional to 137,909.54, 206,860.18 and 38,075.84

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Solution

The fourth proportional to 137,909.54, 206,860.18 and 38,075.84 is: 57,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909.54 : 206,860.18 = 38,075.84 : x
  2. Step 2: Convert to fraction form
    137,909.54/206,860.18 = 38,075.84/x
  3. Step 3: Cross multiply
    137,909.54x = 206,860.18 × 38,075.84
  4. Step 4: Simplify right side
    137,909.54x = 7,876,375,116.05
  5. Step 5: Solve for x
    x = 7,876,375,116.05/137,909.54
  6. Step 6: Final answer
    x = 57,112.62

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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.