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Finding the Fourth Proportional to 83,109.57, 124,719.02 and 30,519.51

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Solution

The fourth proportional to 83,109.57, 124,719.02 and 30,519.51 is: 45,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109.57 : 124,719.02 = 30,519.51 : x
  2. Step 2: Convert to fraction form
    83,109.57/124,719.02 = 30,519.51/x
  3. Step 3: Cross multiply
    83,109.57x = 124,719.02 × 30,519.51
  4. Step 4: Simplify right side
    83,109.57x = 3,806,363,378.08
  5. Step 5: Solve for x
    x = 3,806,363,378.08/83,109.57
  6. Step 6: Final answer
    x = 45,799.34

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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.