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Finding the Fourth Proportional to 52,281.78, 78,378.84 and 36,440.34

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Solution

The fourth proportional to 52,281.78, 78,378.84 and 36,440.34 is: 54,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281.78 : 78,378.84 = 36,440.34 : x
  2. Step 2: Convert to fraction form
    52,281.78/78,378.84 = 36,440.34/x
  3. Step 3: Cross multiply
    52,281.78x = 78,378.84 × 36,440.34
  4. Step 4: Simplify right side
    52,281.78x = 2,856,151,578.41
  5. Step 5: Solve for x
    x = 2,856,151,578.41/52,281.78
  6. Step 6: Final answer
    x = 54,629.96

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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.