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Finding the Fourth Proportional to 54,898.68, 82,348.20 and 13,345.68

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Solution

The fourth proportional to 54,898.68, 82,348.20 and 13,345.68 is: 20,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.68 : 82,348.20 = 13,345.68 : x
  2. Step 2: Convert to fraction form
    54,898.68/82,348.20 = 13,345.68/x
  3. Step 3: Cross multiply
    54,898.68x = 82,348.20 × 13,345.68
  4. Step 4: Simplify right side
    54,898.68x = 1,098,992,725.78
  5. Step 5: Solve for x
    x = 1,098,992,725.78/54,898.68
  6. Step 6: Final answer
    x = 20,018.56

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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.