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Finding the Fourth Proportional to 137,458.60, 206,267.16 and 74,278.84

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Solution

The fourth proportional to 137,458.60, 206,267.16 and 74,278.84 is: 111,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,458.60 : 206,267.16 = 74,278.84 : x
  2. Step 2: Convert to fraction form
    137,458.60/206,267.16 = 74,278.84/x
  3. Step 3: Cross multiply
    137,458.60x = 206,267.16 × 74,278.84
  4. Step 4: Simplify right side
    137,458.60x = 15,321,285,374.89
  5. Step 5: Solve for x
    x = 15,321,285,374.89/137,458.60
  6. Step 6: Final answer
    x = 111,461.09

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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.