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Finding the Fourth Proportional to 54,484.92, 81,737.10 and 21,223.08

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Solution

The fourth proportional to 54,484.92, 81,737.10 and 21,223.08 is: 31,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,484.92 : 81,737.10 = 21,223.08 : x
  2. Step 2: Convert to fraction form
    54,484.92/81,737.10 = 21,223.08/x
  3. Step 3: Cross multiply
    54,484.92x = 81,737.10 × 21,223.08
  4. Step 4: Simplify right side
    54,484.92x = 1,734,713,012.27
  5. Step 5: Solve for x
    x = 1,734,713,012.27/54,484.92
  6. Step 6: Final answer
    x = 31,838.41

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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.