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Finding the Fourth Proportional to 178,580.73, 267,912 and 77,395.76

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Solution

The fourth proportional to 178,580.73, 267,912 and 77,395.76 is: 116,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,580.73 : 267,912 = 77,395.76 : x
  2. Step 2: Convert to fraction form
    178,580.73/267,912 = 77,395.76/x
  3. Step 3: Cross multiply
    178,580.73x = 267,912 × 77,395.76
  4. Step 4: Simplify right side
    178,580.73x = 20,735,252,853.12
  5. Step 5: Solve for x
    x = 20,735,252,853.12/178,580.73
  6. Step 6: Final answer
    x = 116,111.37

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1.5x scale

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.