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Finding the Fourth Proportional to 76,843.25, 115,264.86 and 20,683.47

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Solution

The fourth proportional to 76,843.25, 115,264.86 and 20,683.47 is: 31,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.25 : 115,264.86 = 20,683.47 : x
  2. Step 2: Convert to fraction form
    76,843.25/115,264.86 = 20,683.47/x
  3. Step 3: Cross multiply
    76,843.25x = 115,264.86 × 20,683.47
  4. Step 4: Simplify right side
    76,843.25x = 2,384,077,273.86
  5. Step 5: Solve for x
    x = 2,384,077,273.86/76,843.25
  6. Step 6: Final answer
    x = 31,025.20

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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.