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Finding the Fourth Proportional to 178,841.60, 267,955.20 and 85,145.60

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Solution

The fourth proportional to 178,841.60, 267,955.20 and 85,145.60 is: 127,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,841.60 : 267,955.20 = 85,145.60 : x
  2. Step 2: Convert to fraction form
    178,841.60/267,955.20 = 85,145.60/x
  3. Step 3: Cross multiply
    178,841.60x = 267,955.20 × 85,145.60
  4. Step 4: Simplify right side
    178,841.60x = 22,815,206,277.12
  5. Step 5: Solve for x
    x = 22,815,206,277.12/178,841.60
  6. Step 6: Final answer
    x = 127,572.14

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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.