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Finding the Fourth Proportional to 70,841.52, 106,268.80 and 18,251.20

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Solution

The fourth proportional to 70,841.52, 106,268.80 and 18,251.20 is: 27,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,841.52 : 106,268.80 = 18,251.20 : x
  2. Step 2: Convert to fraction form
    70,841.52/106,268.80 = 18,251.20/x
  3. Step 3: Cross multiply
    70,841.52x = 106,268.80 × 18,251.20
  4. Step 4: Simplify right side
    70,841.52x = 1,939,533,122.56
  5. Step 5: Solve for x
    x = 1,939,533,122.56/70,841.52
  6. Step 6: Final answer
    x = 27,378.48

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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.