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Finding the Fourth Proportional to 68,078.80, 102,166.80 and 38,465.20

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Solution

The fourth proportional to 68,078.80, 102,166.80 and 38,465.20 is: 57,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,078.80 : 102,166.80 = 38,465.20 : x
  2. Step 2: Convert to fraction form
    68,078.80/102,166.80 = 38,465.20/x
  3. Step 3: Cross multiply
    68,078.80x = 102,166.80 × 38,465.20
  4. Step 4: Simplify right side
    68,078.80x = 3,929,866,395.36
  5. Step 5: Solve for x
    x = 3,929,866,395.36/68,078.80
  6. Step 6: Final answer
    x = 57,725.26

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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.