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Finding the Fourth Proportional to 215,722.97, 323,730.26 and 75,482.81

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Solution

The fourth proportional to 215,722.97, 323,730.26 and 75,482.81 is: 113,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,722.97 : 323,730.26 = 75,482.81 : x
  2. Step 2: Convert to fraction form
    215,722.97/323,730.26 = 75,482.81/x
  3. Step 3: Cross multiply
    215,722.97x = 323,730.26 × 75,482.81
  4. Step 4: Simplify right side
    215,722.97x = 24,436,067,710.77
  5. Step 5: Solve for x
    x = 24,436,067,710.77/215,722.97
  6. Step 6: Final answer
    x = 113,275.23

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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.