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Finding the Fourth Proportional to 78,770.78, 118,117.29 and 34,378.32

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Solution

The fourth proportional to 78,770.78, 118,117.29 and 34,378.32 is: 51,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.78 : 118,117.29 = 34,378.32 : x
  2. Step 2: Convert to fraction form
    78,770.78/118,117.29 = 34,378.32/x
  3. Step 3: Cross multiply
    78,770.78x = 118,117.29 × 34,378.32
  4. Step 4: Simplify right side
    78,770.78x = 4,060,673,993.15
  5. Step 5: Solve for x
    x = 4,060,673,993.15/78,770.78
  6. Step 6: Final answer
    x = 51,550.51

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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.