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Finding the Fourth Proportional to 55,578.56, 83,381.88 and 16,138.40

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Solution

The fourth proportional to 55,578.56, 83,381.88 and 16,138.40 is: 24,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,578.56 : 83,381.88 = 16,138.40 : x
  2. Step 2: Convert to fraction form
    55,578.56/83,381.88 = 16,138.40/x
  3. Step 3: Cross multiply
    55,578.56x = 83,381.88 × 16,138.40
  4. Step 4: Simplify right side
    55,578.56x = 1,345,650,132.19
  5. Step 5: Solve for x
    x = 1,345,650,132.19/55,578.56
  6. Step 6: Final answer
    x = 24,211.68

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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.