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Finding the Fourth Proportional to 137,490.98, 189,734.10 and 80,126.58

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Solution

The fourth proportional to 137,490.98, 189,734.10 and 80,126.58 is: 110,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,490.98 : 189,734.10 = 80,126.58 : x
  2. Step 2: Convert to fraction form
    137,490.98/189,734.10 = 80,126.58/x
  3. Step 3: Cross multiply
    137,490.98x = 189,734.10 × 80,126.58
  4. Step 4: Simplify right side
    137,490.98x = 15,202,744,542.38
  5. Step 5: Solve for x
    x = 15,202,744,542.38/137,490.98
  6. Step 6: Final answer
    x = 110,572.67

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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.