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Finding the Fourth Proportional to 45,363.60, 68,029.20 and 15,782.40

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Solution

The fourth proportional to 45,363.60, 68,029.20 and 15,782.40 is: 23,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,363.60 : 68,029.20 = 15,782.40 : x
  2. Step 2: Convert to fraction form
    45,363.60/68,029.20 = 15,782.40/x
  3. Step 3: Cross multiply
    45,363.60x = 68,029.20 × 15,782.40
  4. Step 4: Simplify right side
    45,363.60x = 1,073,664,046.08
  5. Step 5: Solve for x
    x = 1,073,664,046.08/45,363.60
  6. Step 6: Final answer
    x = 23,667.96

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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.