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Finding the Fourth Proportional to 71,835.84, 107,758.08 and 21,919.32

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Solution

The fourth proportional to 71,835.84, 107,758.08 and 21,919.32 is: 32,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.84 : 107,758.08 = 21,919.32 : x
  2. Step 2: Convert to fraction form
    71,835.84/107,758.08 = 21,919.32/x
  3. Step 3: Cross multiply
    71,835.84x = 107,758.08 × 21,919.32
  4. Step 4: Simplify right side
    71,835.84x = 2,361,983,838.11
  5. Step 5: Solve for x
    x = 2,361,983,838.11/71,835.84
  6. Step 6: Final answer
    x = 32,880.30

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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.