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Finding the Fourth Proportional to 83,238, 124,857.12 and 33,990

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Solution

The fourth proportional to 83,238, 124,857.12 and 33,990 is: 50,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238 : 124,857.12 = 33,990 : x
  2. Step 2: Convert to fraction form
    83,238/124,857.12 = 33,990/x
  3. Step 3: Cross multiply
    83,238x = 124,857.12 × 33,990
  4. Step 4: Simplify right side
    83,238x = 4,243,893,508.80
  5. Step 5: Solve for x
    x = 4,243,893,508.80/83,238
  6. Step 6: Final answer
    x = 50,985.05

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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.