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Finding the Fourth Proportional to 127,356, 189,688.68 and 120,694.56

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Solution

The fourth proportional to 127,356, 189,688.68 and 120,694.56 is: 179,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356 : 189,688.68 = 120,694.56 : x
  2. Step 2: Convert to fraction form
    127,356/189,688.68 = 120,694.56/x
  3. Step 3: Cross multiply
    127,356x = 189,688.68 × 120,694.56
  4. Step 4: Simplify right side
    127,356x = 22,894,391,769.58
  5. Step 5: Solve for x
    x = 22,894,391,769.58/127,356
  6. Step 6: Final answer
    x = 179,766.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.