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Finding the Fourth Proportional to 75,394.83, 113,621.75 and 67,907.78

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Solution

The fourth proportional to 75,394.83, 113,621.75 and 67,907.78 is: 102,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,394.83 : 113,621.75 = 67,907.78 : x
  2. Step 2: Convert to fraction form
    75,394.83/113,621.75 = 67,907.78/x
  3. Step 3: Cross multiply
    75,394.83x = 113,621.75 × 67,907.78
  4. Step 4: Simplify right side
    75,394.83x = 7,715,799,894.57
  5. Step 5: Solve for x
    x = 7,715,799,894.57/75,394.83
  6. Step 6: Final answer
    x = 102,338.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.