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Finding the Fourth Proportional to 218,868.20, 328,059.30 and 85,704.20

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Solution

The fourth proportional to 218,868.20, 328,059.30 and 85,704.20 is: 128,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,868.20 : 328,059.30 = 85,704.20 : x
  2. Step 2: Convert to fraction form
    218,868.20/328,059.30 = 85,704.20/x
  3. Step 3: Cross multiply
    218,868.20x = 328,059.30 × 85,704.20
  4. Step 4: Simplify right side
    218,868.20x = 28,116,059,859.06
  5. Step 5: Solve for x
    x = 28,116,059,859.06/218,868.20
  6. Step 6: Final answer
    x = 128,461.15

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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.