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Finding the Fourth Proportional to 78,347.70, 117,540.45 and 25,754.40

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Solution

The fourth proportional to 78,347.70, 117,540.45 and 25,754.40 is: 38,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347.70 : 117,540.45 = 25,754.40 : x
  2. Step 2: Convert to fraction form
    78,347.70/117,540.45 = 25,754.40/x
  3. Step 3: Cross multiply
    78,347.70x = 117,540.45 × 25,754.40
  4. Step 4: Simplify right side
    78,347.70x = 3,027,183,765.48
  5. Step 5: Solve for x
    x = 3,027,183,765.48/78,347.70
  6. Step 6: Final answer
    x = 38,637.81

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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.