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Finding the Fourth Proportional to 75,198.62, 112,788.03 and 35,780.78

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Solution

The fourth proportional to 75,198.62, 112,788.03 and 35,780.78 is: 53,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198.62 : 112,788.03 = 35,780.78 : x
  2. Step 2: Convert to fraction form
    75,198.62/112,788.03 = 35,780.78/x
  3. Step 3: Cross multiply
    75,198.62x = 112,788.03 × 35,780.78
  4. Step 4: Simplify right side
    75,198.62x = 4,035,643,688.06
  5. Step 5: Solve for x
    x = 4,035,643,688.06/75,198.62
  6. Step 6: Final answer
    x = 53,666.46

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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.