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Finding the Fourth Proportional to 199,615.60, 275,458.26 and 113,563

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Solution

The fourth proportional to 199,615.60, 275,458.26 and 113,563 is: 156,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.60 : 275,458.26 = 113,563 : x
  2. Step 2: Convert to fraction form
    199,615.60/275,458.26 = 113,563/x
  3. Step 3: Cross multiply
    199,615.60x = 275,458.26 × 113,563
  4. Step 4: Simplify right side
    199,615.60x = 31,281,866,380.38
  5. Step 5: Solve for x
    x = 31,281,866,380.38/199,615.60
  6. Step 6: Final answer
    x = 156,710.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.