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Finding the Fourth Proportional to 178,250.40, 267,352.56 and 67,428

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Solution

The fourth proportional to 178,250.40, 267,352.56 and 67,428 is: 101,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,250.40 : 267,352.56 = 67,428 : x
  2. Step 2: Convert to fraction form
    178,250.40/267,352.56 = 67,428/x
  3. Step 3: Cross multiply
    178,250.40x = 267,352.56 × 67,428
  4. Step 4: Simplify right side
    178,250.40x = 18,027,048,415.68
  5. Step 5: Solve for x
    x = 18,027,048,415.68/178,250.40
  6. Step 6: Final answer
    x = 101,133.28

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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.