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Finding the Fourth Proportional to 78,347.14, 117,495.78 and 25,744.48

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Solution

The fourth proportional to 78,347.14, 117,495.78 and 25,744.48 is: 38,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347.14 : 117,495.78 = 25,744.48 : x
  2. Step 2: Convert to fraction form
    78,347.14/117,495.78 = 25,744.48/x
  3. Step 3: Cross multiply
    78,347.14x = 117,495.78 × 25,744.48
  4. Step 4: Simplify right side
    78,347.14x = 3,024,867,758.29
  5. Step 5: Solve for x
    x = 3,024,867,758.29/78,347.14
  6. Step 6: Final answer
    x = 38,608.53

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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.