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Finding the Fourth Proportional to 45,643.20, 68,311.20 and 31,819.20

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Solution

The fourth proportional to 45,643.20, 68,311.20 and 31,819.20 is: 47,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.20 : 68,311.20 = 31,819.20 : x
  2. Step 2: Convert to fraction form
    45,643.20/68,311.20 = 31,819.20/x
  3. Step 3: Cross multiply
    45,643.20x = 68,311.20 × 31,819.20
  4. Step 4: Simplify right side
    45,643.20x = 2,173,607,735.04
  5. Step 5: Solve for x
    x = 2,173,607,735.04/45,643.20
  6. Step 6: Final answer
    x = 47,621.72

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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.