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Finding the Fourth Proportional to 165,329.84, 247,797.92 and 115,138.16

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Solution

The fourth proportional to 165,329.84, 247,797.92 and 115,138.16 is: 172,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,329.84 : 247,797.92 = 115,138.16 : x
  2. Step 2: Convert to fraction form
    165,329.84/247,797.92 = 115,138.16/x
  3. Step 3: Cross multiply
    165,329.84x = 247,797.92 × 115,138.16
  4. Step 4: Simplify right side
    165,329.84x = 28,530,996,560.63
  5. Step 5: Solve for x
    x = 28,530,996,560.63/165,329.84
  6. Step 6: Final answer
    x = 172,570.16

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1.5x scale

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.