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Finding the Fourth Proportional to 54,145.80, 81,315.90 and 52,396.20

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Solution

The fourth proportional to 54,145.80, 81,315.90 and 52,396.20 is: 78,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,145.80 : 81,315.90 = 52,396.20 : x
  2. Step 2: Convert to fraction form
    54,145.80/81,315.90 = 52,396.20/x
  3. Step 3: Cross multiply
    54,145.80x = 81,315.90 × 52,396.20
  4. Step 4: Simplify right side
    54,145.80x = 4,260,644,159.58
  5. Step 5: Solve for x
    x = 4,260,644,159.58/54,145.80
  6. Step 6: Final answer
    x = 78,688.36

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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.