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Finding the Fourth Proportional to 71,271.20, 106,876.72 and 21,358.40

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Solution

The fourth proportional to 71,271.20, 106,876.72 and 21,358.40 is: 32,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,271.20 : 106,876.72 = 21,358.40 : x
  2. Step 2: Convert to fraction form
    71,271.20/106,876.72 = 21,358.40/x
  3. Step 3: Cross multiply
    71,271.20x = 106,876.72 × 21,358.40
  4. Step 4: Simplify right side
    71,271.20x = 2,282,715,736.45
  5. Step 5: Solve for x
    x = 2,282,715,736.45/71,271.20
  6. Step 6: Final answer
    x = 32,028.59

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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.