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Finding the Fourth Proportional to 137,622.76, 206,486.72 and 53,442.02

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Solution

The fourth proportional to 137,622.76, 206,486.72 and 53,442.02 is: 80,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,622.76 : 206,486.72 = 53,442.02 : x
  2. Step 2: Convert to fraction form
    137,622.76/206,486.72 = 53,442.02/x
  3. Step 3: Cross multiply
    137,622.76x = 206,486.72 × 53,442.02
  4. Step 4: Simplify right side
    137,622.76x = 11,035,067,419.97
  5. Step 5: Solve for x
    x = 11,035,067,419.97/137,622.76
  6. Step 6: Final answer
    x = 80,183.45

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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.