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Finding the Fourth Proportional to 57,226.50, 78,972.57 and 34,870.50

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Solution

The fourth proportional to 57,226.50, 78,972.57 and 34,870.50 is: 48,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 78,972.57 = 34,870.50 : x
  2. Step 2: Convert to fraction form
    57,226.50/78,972.57 = 34,870.50/x
  3. Step 3: Cross multiply
    57,226.50x = 78,972.57 × 34,870.50
  4. Step 4: Simplify right side
    57,226.50x = 2,753,813,002.19
  5. Step 5: Solve for x
    x = 2,753,813,002.19/57,226.50
  6. Step 6: Final answer
    x = 48,121.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.