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Finding the Fourth Proportional to 78,321.66, 117,494.73 and 25,719.18

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Solution

The fourth proportional to 78,321.66, 117,494.73 and 25,719.18 is: 38,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.66 : 117,494.73 = 25,719.18 : x
  2. Step 2: Convert to fraction form
    78,321.66/117,494.73 = 25,719.18/x
  3. Step 3: Cross multiply
    78,321.66x = 117,494.73 × 25,719.18
  4. Step 4: Simplify right side
    78,321.66x = 3,021,868,109.92
  5. Step 5: Solve for x
    x = 3,021,868,109.92/78,321.66
  6. Step 6: Final answer
    x = 38,582.79

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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.