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Finding the Fourth Proportional to 55,514, 83,264.88 and 13,961

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Solution

The fourth proportional to 55,514, 83,264.88 and 13,961 is: 20,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 83,264.88 = 13,961 : x
  2. Step 2: Convert to fraction form
    55,514/83,264.88 = 13,961/x
  3. Step 3: Cross multiply
    55,514x = 83,264.88 × 13,961
  4. Step 4: Simplify right side
    55,514x = 1,162,460,989.68
  5. Step 5: Solve for x
    x = 1,162,460,989.68/55,514
  6. Step 6: Final answer
    x = 20,939.96

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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.