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Finding the Fourth Proportional to 83,138.82, 124,708.29 and 20,809.26

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Solution

The fourth proportional to 83,138.82, 124,708.29 and 20,809.26 is: 31,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.82 : 124,708.29 = 20,809.26 : x
  2. Step 2: Convert to fraction form
    83,138.82/124,708.29 = 20,809.26/x
  3. Step 3: Cross multiply
    83,138.82x = 124,708.29 × 20,809.26
  4. Step 4: Simplify right side
    83,138.82x = 2,595,087,230.77
  5. Step 5: Solve for x
    x = 2,595,087,230.77/83,138.82
  6. Step 6: Final answer
    x = 31,213.91

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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.