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Finding the Fourth Proportional to 137,494.90, 189,388.04 and 97,138.61

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Solution

The fourth proportional to 137,494.90, 189,388.04 and 97,138.61 is: 133,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,494.90 : 189,388.04 = 97,138.61 : x
  2. Step 2: Convert to fraction form
    137,494.90/189,388.04 = 97,138.61/x
  3. Step 3: Cross multiply
    137,494.90x = 189,388.04 × 97,138.61
  4. Step 4: Simplify right side
    137,494.90x = 18,396,890,956.22
  5. Step 5: Solve for x
    x = 18,396,890,956.22/137,494.90
  6. Step 6: Final answer
    x = 133,800.53

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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.