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Finding the Fourth Proportional to 67,109.76, 92,475 and 51,910.11

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Solution

The fourth proportional to 67,109.76, 92,475 and 51,910.11 is: 71,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,109.76 : 92,475 = 51,910.11 : x
  2. Step 2: Convert to fraction form
    67,109.76/92,475 = 51,910.11/x
  3. Step 3: Cross multiply
    67,109.76x = 92,475 × 51,910.11
  4. Step 4: Simplify right side
    67,109.76x = 4,800,387,422.25
  5. Step 5: Solve for x
    x = 4,800,387,422.25/67,109.76
  6. Step 6: Final answer
    x = 71,530.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.