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Finding the Fourth Proportional to 137,671.56, 189,969.84 and 81,072

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Solution

The fourth proportional to 137,671.56, 189,969.84 and 81,072 is: 111,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.56 : 189,969.84 = 81,072 : x
  2. Step 2: Convert to fraction form
    137,671.56/189,969.84 = 81,072/x
  3. Step 3: Cross multiply
    137,671.56x = 189,969.84 × 81,072
  4. Step 4: Simplify right side
    137,671.56x = 15,401,234,868.48
  5. Step 5: Solve for x
    x = 15,401,234,868.48/137,671.56
  6. Step 6: Final answer
    x = 111,869.40

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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.