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Finding the Fourth Proportional to 103,422.15, 154,969.20 and 68,320.80

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Solution

The fourth proportional to 103,422.15, 154,969.20 and 68,320.80 is: 102,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422.15 : 154,969.20 = 68,320.80 : x
  2. Step 2: Convert to fraction form
    103,422.15/154,969.20 = 68,320.80/x
  3. Step 3: Cross multiply
    103,422.15x = 154,969.20 × 68,320.80
  4. Step 4: Simplify right side
    103,422.15x = 10,587,619,719.36
  5. Step 5: Solve for x
    x = 10,587,619,719.36/103,422.15
  6. Step 6: Final answer
    x = 102,372.84

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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.