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Finding the Fourth Proportional to 165,275, 247,813.90 and 65,449.52

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Solution

The fourth proportional to 165,275, 247,813.90 and 65,449.52 is: 98,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,275 : 247,813.90 = 65,449.52 : x
  2. Step 2: Convert to fraction form
    165,275/247,813.90 = 65,449.52/x
  3. Step 3: Cross multiply
    165,275x = 247,813.90 × 65,449.52
  4. Step 4: Simplify right side
    165,275x = 16,219,300,804.33
  5. Step 5: Solve for x
    x = 16,219,300,804.33/165,275
  6. Step 6: Final answer
    x = 98,135.23

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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.