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Finding the Fourth Proportional to 137,296.62, 189,469.80 and 76,867.38

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Solution

The fourth proportional to 137,296.62, 189,469.80 and 76,867.38 is: 106,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296.62 : 189,469.80 = 76,867.38 : x
  2. Step 2: Convert to fraction form
    137,296.62/189,469.80 = 76,867.38/x
  3. Step 3: Cross multiply
    137,296.62x = 189,469.80 × 76,867.38
  4. Step 4: Simplify right side
    137,296.62x = 14,564,047,115.12
  5. Step 5: Solve for x
    x = 14,564,047,115.12/137,296.62
  6. Step 6: Final answer
    x = 106,077.24

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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.