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Finding the Fourth Proportional to 218,865.60, 328,309.20 and 113,889.60

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Solution

The fourth proportional to 218,865.60, 328,309.20 and 113,889.60 is: 170,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,865.60 : 328,309.20 = 113,889.60 : x
  2. Step 2: Convert to fraction form
    218,865.60/328,309.20 = 113,889.60/x
  3. Step 3: Cross multiply
    218,865.60x = 328,309.20 × 113,889.60
  4. Step 4: Simplify right side
    218,865.60x = 37,391,003,464.32
  5. Step 5: Solve for x
    x = 37,391,003,464.32/218,865.60
  6. Step 6: Final answer
    x = 170,840.02

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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.