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Finding the Fourth Proportional to 218,816.30, 328,219.65 and 61,040.30

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Solution

The fourth proportional to 218,816.30, 328,219.65 and 61,040.30 is: 91,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,816.30 : 328,219.65 = 61,040.30 : x
  2. Step 2: Convert to fraction form
    218,816.30/328,219.65 = 61,040.30/x
  3. Step 3: Cross multiply
    218,816.30x = 328,219.65 × 61,040.30
  4. Step 4: Simplify right side
    218,816.30x = 20,034,625,901.90
  5. Step 5: Solve for x
    x = 20,034,625,901.90/218,816.30
  6. Step 6: Final answer
    x = 91,559.11

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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.