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Finding the Fourth Proportional to 52,119.60, 78,217.80 and 20,977.20

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Solution

The fourth proportional to 52,119.60, 78,217.80 and 20,977.20 is: 31,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.60 : 78,217.80 = 20,977.20 : x
  2. Step 2: Convert to fraction form
    52,119.60/78,217.80 = 20,977.20/x
  3. Step 3: Cross multiply
    52,119.60x = 78,217.80 × 20,977.20
  4. Step 4: Simplify right side
    52,119.60x = 1,640,790,434.16
  5. Step 5: Solve for x
    x = 1,640,790,434.16/52,119.60
  6. Step 6: Final answer
    x = 31,481.26

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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.