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Finding the Fourth Proportional to 55,371.57, 83,058.54 and 19,835.20

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Solution

The fourth proportional to 55,371.57, 83,058.54 and 19,835.20 is: 29,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371.57 : 83,058.54 = 19,835.20 : x
  2. Step 2: Convert to fraction form
    55,371.57/83,058.54 = 19,835.20/x
  3. Step 3: Cross multiply
    55,371.57x = 83,058.54 × 19,835.20
  4. Step 4: Simplify right side
    55,371.57x = 1,647,483,071.44
  5. Step 5: Solve for x
    x = 1,647,483,071.44/55,371.57
  6. Step 6: Final answer
    x = 29,753.23

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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.