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Finding the Fourth Proportional to 54,309, 81,463.44 and 14,869.20

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Solution

The fourth proportional to 54,309, 81,463.44 and 14,869.20 is: 22,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309 : 81,463.44 = 14,869.20 : x
  2. Step 2: Convert to fraction form
    54,309/81,463.44 = 14,869.20/x
  3. Step 3: Cross multiply
    54,309x = 81,463.44 × 14,869.20
  4. Step 4: Simplify right side
    54,309x = 1,211,296,182.05
  5. Step 5: Solve for x
    x = 1,211,296,182.05/54,309
  6. Step 6: Final answer
    x = 22,303.78

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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.