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Finding the Fourth Proportional to 78,323.22, 117,475.65 and 25,719.75

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Solution

The fourth proportional to 78,323.22, 117,475.65 and 25,719.75 is: 38,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.22 : 117,475.65 = 25,719.75 : x
  2. Step 2: Convert to fraction form
    78,323.22/117,475.65 = 25,719.75/x
  3. Step 3: Cross multiply
    78,323.22x = 117,475.65 × 25,719.75
  4. Step 4: Simplify right side
    78,323.22x = 3,021,444,349.09
  5. Step 5: Solve for x
    x = 3,021,444,349.09/78,323.22
  6. Step 6: Final answer
    x = 38,576.61

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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.