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Finding the Fourth Proportional to 53,850, 80,765.25 and 18,799.68

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Solution

The fourth proportional to 53,850, 80,765.25 and 18,799.68 is: 28,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,850 : 80,765.25 = 18,799.68 : x
  2. Step 2: Convert to fraction form
    53,850/80,765.25 = 18,799.68/x
  3. Step 3: Cross multiply
    53,850x = 80,765.25 × 18,799.68
  4. Step 4: Simplify right side
    53,850x = 1,518,360,855.12
  5. Step 5: Solve for x
    x = 1,518,360,855.12/53,850
  6. Step 6: Final answer
    x = 28,196.12

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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.