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Finding the Fourth Proportional to 137,868.61, 206,817.29 and 38,028.82

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Solution

The fourth proportional to 137,868.61, 206,817.29 and 38,028.82 is: 57,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,868.61 : 206,817.29 = 38,028.82 : x
  2. Step 2: Convert to fraction form
    137,868.61/206,817.29 = 38,028.82/x
  3. Step 3: Cross multiply
    137,868.61x = 206,817.29 × 38,028.82
  4. Step 4: Simplify right side
    137,868.61x = 7,865,017,494.30
  5. Step 5: Solve for x
    x = 7,865,017,494.30/137,868.61
  6. Step 6: Final answer
    x = 57,047.20

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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.