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Finding the Fourth Proportional to 54,234.40, 81,400.20 and 46,847.20

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Solution

The fourth proportional to 54,234.40, 81,400.20 and 46,847.20 is: 70,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.40 : 81,400.20 = 46,847.20 : x
  2. Step 2: Convert to fraction form
    54,234.40/81,400.20 = 46,847.20/x
  3. Step 3: Cross multiply
    54,234.40x = 81,400.20 × 46,847.20
  4. Step 4: Simplify right side
    54,234.40x = 3,813,371,449.44
  5. Step 5: Solve for x
    x = 3,813,371,449.44/54,234.40
  6. Step 6: Final answer
    x = 70,312.78

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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.