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Finding the Fourth Proportional to 102,741.44, 154,111.95 and 38,711.55

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Solution

The fourth proportional to 102,741.44, 154,111.95 and 38,711.55 is: 58,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,741.44 : 154,111.95 = 38,711.55 : x
  2. Step 2: Convert to fraction form
    102,741.44/154,111.95 = 38,711.55/x
  3. Step 3: Cross multiply
    102,741.44x = 154,111.95 × 38,711.55
  4. Step 4: Simplify right side
    102,741.44x = 5,965,912,458.02
  5. Step 5: Solve for x
    x = 5,965,912,458.02/102,741.44
  6. Step 6: Final answer
    x = 58,067.25

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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.