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Finding the Fourth Proportional to 75,069, 112,603.50 and 28,310.94

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Solution

The fourth proportional to 75,069, 112,603.50 and 28,310.94 is: 42,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069 : 112,603.50 = 28,310.94 : x
  2. Step 2: Convert to fraction form
    75,069/112,603.50 = 28,310.94/x
  3. Step 3: Cross multiply
    75,069x = 112,603.50 × 28,310.94
  4. Step 4: Simplify right side
    75,069x = 3,187,910,932.29
  5. Step 5: Solve for x
    x = 3,187,910,932.29/75,069
  6. Step 6: Final answer
    x = 42,466.41

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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.