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Finding the Fourth Proportional to 166,449.52, 229,701.12 and 90,998

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Solution

The fourth proportional to 166,449.52, 229,701.12 and 90,998 is: 125,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,449.52 : 229,701.12 = 90,998 : x
  2. Step 2: Convert to fraction form
    166,449.52/229,701.12 = 90,998/x
  3. Step 3: Cross multiply
    166,449.52x = 229,701.12 × 90,998
  4. Step 4: Simplify right side
    166,449.52x = 20,902,342,517.76
  5. Step 5: Solve for x
    x = 20,902,342,517.76/166,449.52
  6. Step 6: Final answer
    x = 125,577.67

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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.