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Finding the Fourth Proportional to 137,044.62, 189,179.87 and 83,346.88

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Solution

The fourth proportional to 137,044.62, 189,179.87 and 83,346.88 is: 115,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044.62 : 189,179.87 = 83,346.88 : x
  2. Step 2: Convert to fraction form
    137,044.62/189,179.87 = 83,346.88/x
  3. Step 3: Cross multiply
    137,044.62x = 189,179.87 × 83,346.88
  4. Step 4: Simplify right side
    137,044.62x = 15,767,551,923.31
  5. Step 5: Solve for x
    x = 15,767,551,923.31/137,044.62
  6. Step 6: Final answer
    x = 115,054.15

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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.