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Finding the Fourth Proportional to 178,123, 267,301.14 and 67,315

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Solution

The fourth proportional to 178,123, 267,301.14 and 67,315 is: 101,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123 : 267,301.14 = 67,315 : x
  2. Step 2: Convert to fraction form
    178,123/267,301.14 = 67,315/x
  3. Step 3: Cross multiply
    178,123x = 267,301.14 × 67,315
  4. Step 4: Simplify right side
    178,123x = 17,993,376,239.10
  5. Step 5: Solve for x
    x = 17,993,376,239.10/178,123
  6. Step 6: Final answer
    x = 101,016.58

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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.