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Finding the Fourth Proportional to 71,806.40, 107,725.12 and 21,885.20

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Solution

The fourth proportional to 71,806.40, 107,725.12 and 21,885.20 is: 32,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.40 : 107,725.12 = 21,885.20 : x
  2. Step 2: Convert to fraction form
    71,806.40/107,725.12 = 21,885.20/x
  3. Step 3: Cross multiply
    71,806.40x = 107,725.12 × 21,885.20
  4. Step 4: Simplify right side
    71,806.40x = 2,357,585,796.22
  5. Step 5: Solve for x
    x = 2,357,585,796.22/71,806.40
  6. Step 6: Final answer
    x = 32,832.53

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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.