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Finding the Fourth Proportional to 218,596.60, 327,830.10 and 85,400.20

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Solution

The fourth proportional to 218,596.60, 327,830.10 and 85,400.20 is: 128,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,596.60 : 327,830.10 = 85,400.20 : x
  2. Step 2: Convert to fraction form
    218,596.60/327,830.10 = 85,400.20/x
  3. Step 3: Cross multiply
    218,596.60x = 327,830.10 × 85,400.20
  4. Step 4: Simplify right side
    218,596.60x = 27,996,756,106.02
  5. Step 5: Solve for x
    x = 27,996,756,106.02/218,596.60
  6. Step 6: Final answer
    x = 128,074.98

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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.