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Finding the Fourth Proportional to 178,322.91, 267,387.76 and 78,366.07

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Solution

The fourth proportional to 178,322.91, 267,387.76 and 78,366.07 is: 117,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,322.91 : 267,387.76 = 78,366.07 : x
  2. Step 2: Convert to fraction form
    178,322.91/267,387.76 = 78,366.07/x
  3. Step 3: Cross multiply
    178,322.91x = 267,387.76 × 78,366.07
  4. Step 4: Simplify right side
    178,322.91x = 20,954,127,917.30
  5. Step 5: Solve for x
    x = 20,954,127,917.30/178,322.91
  6. Step 6: Final answer
    x = 117,506.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.