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Finding the Fourth Proportional to 178,229.60, 267,128.40 and 103,205.60

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Solution

The fourth proportional to 178,229.60, 267,128.40 and 103,205.60 is: 154,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,229.60 : 267,128.40 = 103,205.60 : x
  2. Step 2: Convert to fraction form
    178,229.60/267,128.40 = 103,205.60/x
  3. Step 3: Cross multiply
    178,229.60x = 267,128.40 × 103,205.60
  4. Step 4: Simplify right side
    178,229.60x = 27,569,146,799.04
  5. Step 5: Solve for x
    x = 27,569,146,799.04/178,229.60
  6. Step 6: Final answer
    x = 154,683.32

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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.