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Finding the Fourth Proportional to 78,755.76, 118,086.13 and 31,378.16

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Solution

The fourth proportional to 78,755.76, 118,086.13 and 31,378.16 is: 47,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,755.76 : 118,086.13 = 31,378.16 : x
  2. Step 2: Convert to fraction form
    78,755.76/118,086.13 = 31,378.16/x
  3. Step 3: Cross multiply
    78,755.76x = 118,086.13 × 31,378.16
  4. Step 4: Simplify right side
    78,755.76x = 3,705,324,890.49
  5. Step 5: Solve for x
    x = 3,705,324,890.49/78,755.76
  6. Step 6: Final answer
    x = 47,048.30

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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.