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Finding the Fourth Proportional to 218,825, 328,237.60 and 69,080.48

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Solution

The fourth proportional to 218,825, 328,237.60 and 69,080.48 is: 103,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825 : 328,237.60 = 69,080.48 : x
  2. Step 2: Convert to fraction form
    218,825/328,237.60 = 69,080.48/x
  3. Step 3: Cross multiply
    218,825x = 328,237.60 × 69,080.48
  4. Step 4: Simplify right side
    218,825x = 22,674,810,962.05
  5. Step 5: Solve for x
    x = 22,674,810,962.05/218,825
  6. Step 6: Final answer
    x = 103,620.75

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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.