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Finding the Fourth Proportional to 178,081.60, 267,221.40 and 72,893.20

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Solution

The fourth proportional to 178,081.60, 267,221.40 and 72,893.20 is: 109,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,081.60 : 267,221.40 = 72,893.20 : x
  2. Step 2: Convert to fraction form
    178,081.60/267,221.40 = 72,893.20/x
  3. Step 3: Cross multiply
    178,081.60x = 267,221.40 × 72,893.20
  4. Step 4: Simplify right side
    178,081.60x = 19,478,622,954.48
  5. Step 5: Solve for x
    x = 19,478,622,954.48/178,081.60
  6. Step 6: Final answer
    x = 109,380.32

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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.