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Finding the Fourth Proportional to 165,308.24, 247,811.16 and 71,780.24

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Solution

The fourth proportional to 165,308.24, 247,811.16 and 71,780.24 is: 107,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,308.24 : 247,811.16 = 71,780.24 : x
  2. Step 2: Convert to fraction form
    165,308.24/247,811.16 = 71,780.24/x
  3. Step 3: Cross multiply
    165,308.24x = 247,811.16 × 71,780.24
  4. Step 4: Simplify right side
    165,308.24x = 17,787,944,539.48
  5. Step 5: Solve for x
    x = 17,787,944,539.48/165,308.24
  6. Step 6: Final answer
    x = 107,604.71

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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.