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Finding the Fourth Proportional to 51,067, 70,472.46 and 28,711

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Solution

The fourth proportional to 51,067, 70,472.46 and 28,711 is: 39,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,067 : 70,472.46 = 28,711 : x
  2. Step 2: Convert to fraction form
    51,067/70,472.46 = 28,711/x
  3. Step 3: Cross multiply
    51,067x = 70,472.46 × 28,711
  4. Step 4: Simplify right side
    51,067x = 2,023,334,799.06
  5. Step 5: Solve for x
    x = 2,023,334,799.06/51,067
  6. Step 6: Final answer
    x = 39,621.18

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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.