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Finding the Fourth Proportional to 218,845.40, 328,268.10 and 71,101.40

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Solution

The fourth proportional to 218,845.40, 328,268.10 and 71,101.40 is: 106,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,845.40 : 328,268.10 = 71,101.40 : x
  2. Step 2: Convert to fraction form
    218,845.40/328,268.10 = 71,101.40/x
  3. Step 3: Cross multiply
    218,845.40x = 328,268.10 × 71,101.40
  4. Step 4: Simplify right side
    218,845.40x = 23,340,321,485.34
  5. Step 5: Solve for x
    x = 23,340,321,485.34/218,845.40
  6. Step 6: Final answer
    x = 106,652.10

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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.