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Finding the Fourth Proportional to 178,122, 267,299.64 and 67,314

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Solution

The fourth proportional to 178,122, 267,299.64 and 67,314 is: 101,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,122 : 267,299.64 = 67,314 : x
  2. Step 2: Convert to fraction form
    178,122/267,299.64 = 67,314/x
  3. Step 3: Cross multiply
    178,122x = 267,299.64 × 67,314
  4. Step 4: Simplify right side
    178,122x = 17,993,007,966.96
  5. Step 5: Solve for x
    x = 17,993,007,966.96/178,122
  6. Step 6: Final answer
    x = 101,015.08

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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.