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Finding the Fourth Proportional to 218,627.80, 327,941.70 and 78,400.60

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Solution

The fourth proportional to 218,627.80, 327,941.70 and 78,400.60 is: 117,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,627.80 : 327,941.70 = 78,400.60 : x
  2. Step 2: Convert to fraction form
    218,627.80/327,941.70 = 78,400.60/x
  3. Step 3: Cross multiply
    218,627.80x = 327,941.70 × 78,400.60
  4. Step 4: Simplify right side
    218,627.80x = 25,710,826,045.02
  5. Step 5: Solve for x
    x = 25,710,826,045.02/218,627.80
  6. Step 6: Final answer
    x = 117,600.90

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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.