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Finding the Fourth Proportional to 83,802, 115,648.95 and 45,564.12

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Solution

The fourth proportional to 83,802, 115,648.95 and 45,564.12 is: 62,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802 : 115,648.95 = 45,564.12 : x
  2. Step 2: Convert to fraction form
    83,802/115,648.95 = 45,564.12/x
  3. Step 3: Cross multiply
    83,802x = 115,648.95 × 45,564.12
  4. Step 4: Simplify right side
    83,802x = 5,269,442,635.67
  5. Step 5: Solve for x
    x = 5,269,442,635.67/83,802
  6. Step 6: Final answer
    x = 62,879.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.