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Finding the Fourth Proportional to 205,868.80, 308,803.20 and 87,510.40

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Solution

The fourth proportional to 205,868.80, 308,803.20 and 87,510.40 is: 131,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,868.80 : 308,803.20 = 87,510.40 : x
  2. Step 2: Convert to fraction form
    205,868.80/308,803.20 = 87,510.40/x
  3. Step 3: Cross multiply
    205,868.80x = 308,803.20 × 87,510.40
  4. Step 4: Simplify right side
    205,868.80x = 27,023,491,553.28
  5. Step 5: Solve for x
    x = 27,023,491,553.28/205,868.80
  6. Step 6: Final answer
    x = 131,265.60

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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.