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Finding the Fourth Proportional to 68,535.20, 102,802.80 and 19,280.80

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Solution

The fourth proportional to 68,535.20, 102,802.80 and 19,280.80 is: 28,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535.20 : 102,802.80 = 19,280.80 : x
  2. Step 2: Convert to fraction form
    68,535.20/102,802.80 = 19,280.80/x
  3. Step 3: Cross multiply
    68,535.20x = 102,802.80 × 19,280.80
  4. Step 4: Simplify right side
    68,535.20x = 1,982,120,226.24
  5. Step 5: Solve for x
    x = 1,982,120,226.24/68,535.20
  6. Step 6: Final answer
    x = 28,921.20

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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.