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Finding the Fourth Proportional to 45,098.87, 67,629.28 and 13,513.42

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Solution

The fourth proportional to 45,098.87, 67,629.28 and 13,513.42 is: 20,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098.87 : 67,629.28 = 13,513.42 : x
  2. Step 2: Convert to fraction form
    45,098.87/67,629.28 = 13,513.42/x
  3. Step 3: Cross multiply
    45,098.87x = 67,629.28 × 13,513.42
  4. Step 4: Simplify right side
    45,098.87x = 913,902,864.94
  5. Step 5: Solve for x
    x = 913,902,864.94/45,098.87
  6. Step 6: Final answer
    x = 20,264.43

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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.