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Finding the Fourth Proportional to 54,502.60, 81,806.10 and 28,226.20

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Solution

The fourth proportional to 54,502.60, 81,806.10 and 28,226.20 is: 42,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.60 : 81,806.10 = 28,226.20 : x
  2. Step 2: Convert to fraction form
    54,502.60/81,806.10 = 28,226.20/x
  3. Step 3: Cross multiply
    54,502.60x = 81,806.10 × 28,226.20
  4. Step 4: Simplify right side
    54,502.60x = 2,309,075,339.82
  5. Step 5: Solve for x
    x = 2,309,075,339.82/54,502.60
  6. Step 6: Final answer
    x = 42,366.33

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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.