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Finding the Fourth Proportional to 165,319.89, 247,975.04 and 98,311.58

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Solution

The fourth proportional to 165,319.89, 247,975.04 and 98,311.58 is: 147,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,319.89 : 247,975.04 = 98,311.58 : x
  2. Step 2: Convert to fraction form
    165,319.89/247,975.04 = 98,311.58/x
  3. Step 3: Cross multiply
    165,319.89x = 247,975.04 × 98,311.58
  4. Step 4: Simplify right side
    165,319.89x = 24,378,816,251.53
  5. Step 5: Solve for x
    x = 24,378,816,251.53/165,319.89
  6. Step 6: Final answer
    x = 147,464.51

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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.