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Finding the Fourth Proportional to 83,083.83, 124,407.05 and 49,724.79

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Solution

The fourth proportional to 83,083.83, 124,407.05 and 49,724.79 is: 74,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.83 : 124,407.05 = 49,724.79 : x
  2. Step 2: Convert to fraction form
    83,083.83/124,407.05 = 49,724.79/x
  3. Step 3: Cross multiply
    83,083.83x = 124,407.05 × 49,724.79
  4. Step 4: Simplify right side
    83,083.83x = 6,186,114,187.15
  5. Step 5: Solve for x
    x = 6,186,114,187.15/83,083.83
  6. Step 6: Final answer
    x = 74,456.30

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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.