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Finding the Fourth Proportional to 78,538.81, 117,805.71 and 25,230.57

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Solution

The fourth proportional to 78,538.81, 117,805.71 and 25,230.57 is: 37,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.81 : 117,805.71 = 25,230.57 : x
  2. Step 2: Convert to fraction form
    78,538.81/117,805.71 = 25,230.57/x
  3. Step 3: Cross multiply
    78,538.81x = 117,805.71 × 25,230.57
  4. Step 4: Simplify right side
    78,538.81x = 2,972,305,167.25
  5. Step 5: Solve for x
    x = 2,972,305,167.25/78,538.81
  6. Step 6: Final answer
    x = 37,845.05

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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.