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Finding the Fourth Proportional to 178,686.80, 267,641.40 and 108,443.60

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Solution

The fourth proportional to 178,686.80, 267,641.40 and 108,443.60 is: 162,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,686.80 : 267,641.40 = 108,443.60 : x
  2. Step 2: Convert to fraction form
    178,686.80/267,641.40 = 108,443.60/x
  3. Step 3: Cross multiply
    178,686.80x = 267,641.40 × 108,443.60
  4. Step 4: Simplify right side
    178,686.80x = 29,023,996,925.04
  5. Step 5: Solve for x
    x = 29,023,996,925.04/178,686.80
  6. Step 6: Final answer
    x = 162,429.44

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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.