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Finding the Fourth Proportional to 78,034.68, 107,687.05 and 42,223.90

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Solution

The fourth proportional to 78,034.68, 107,687.05 and 42,223.90 is: 58,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.68 : 107,687.05 = 42,223.90 : x
  2. Step 2: Convert to fraction form
    78,034.68/107,687.05 = 42,223.90/x
  3. Step 3: Cross multiply
    78,034.68x = 107,687.05 × 42,223.90
  4. Step 4: Simplify right side
    78,034.68x = 4,546,967,230.50
  5. Step 5: Solve for x
    x = 4,546,967,230.50/78,034.68
  6. Step 6: Final answer
    x = 58,268.54

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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.