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Finding the Fourth Proportional to 137,460.60, 206,270.16 and 74,280.84

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Solution

The fourth proportional to 137,460.60, 206,270.16 and 74,280.84 is: 111,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,460.60 : 206,270.16 = 74,280.84 : x
  2. Step 2: Convert to fraction form
    137,460.60/206,270.16 = 74,280.84/x
  3. Step 3: Cross multiply
    137,460.60x = 206,270.16 × 74,280.84
  4. Step 4: Simplify right side
    137,460.60x = 15,321,920,751.73
  5. Step 5: Solve for x
    x = 15,321,920,751.73/137,460.60
  6. Step 6: Final answer
    x = 111,464.09

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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.