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Finding the Fourth Proportional to 137,673.56, 189,972.60 and 81,074

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Solution

The fourth proportional to 137,673.56, 189,972.60 and 81,074 is: 111,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,673.56 : 189,972.60 = 81,074 : x
  2. Step 2: Convert to fraction form
    137,673.56/189,972.60 = 81,074/x
  3. Step 3: Cross multiply
    137,673.56x = 189,972.60 × 81,074
  4. Step 4: Simplify right side
    137,673.56x = 15,401,838,572.40
  5. Step 5: Solve for x
    x = 15,401,838,572.40/137,673.56
  6. Step 6: Final answer
    x = 111,872.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.