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Finding the Fourth Proportional to 78,311.61, 117,362.76 and 40,793.04

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Solution

The fourth proportional to 78,311.61, 117,362.76 and 40,793.04 is: 61,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.61 : 117,362.76 = 40,793.04 : x
  2. Step 2: Convert to fraction form
    78,311.61/117,362.76 = 40,793.04/x
  3. Step 3: Cross multiply
    78,311.61x = 117,362.76 × 40,793.04
  4. Step 4: Simplify right side
    78,311.61x = 4,787,583,763.19
  5. Step 5: Solve for x
    x = 4,787,583,763.19/78,311.61
  6. Step 6: Final answer
    x = 61,135.04

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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.