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Finding the Fourth Proportional to 75,074, 112,611 and 28,315.94

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Solution

The fourth proportional to 75,074, 112,611 and 28,315.94 is: 42,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074 : 112,611 = 28,315.94 : x
  2. Step 2: Convert to fraction form
    75,074/112,611 = 28,315.94/x
  3. Step 3: Cross multiply
    75,074x = 112,611 × 28,315.94
  4. Step 4: Simplify right side
    75,074x = 3,188,686,319.34
  5. Step 5: Solve for x
    x = 3,188,686,319.34/75,074
  6. Step 6: Final answer
    x = 42,473.91

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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.