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Finding the Fourth Proportional to 137,908.55, 206,858.68 and 38,074.83

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Solution

The fourth proportional to 137,908.55, 206,858.68 and 38,074.83 is: 57,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.55 : 206,858.68 = 38,074.83 : x
  2. Step 2: Convert to fraction form
    137,908.55/206,858.68 = 38,074.83/x
  3. Step 3: Cross multiply
    137,908.55x = 206,858.68 × 38,074.83
  4. Step 4: Simplify right side
    137,908.55x = 7,876,109,075.02
  5. Step 5: Solve for x
    x = 7,876,109,075.02/137,908.55
  6. Step 6: Final answer
    x = 57,111.10

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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.