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Finding the Fourth Proportional to 52,048, 78,081.84 and 20,885.68

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Solution

The fourth proportional to 52,048, 78,081.84 and 20,885.68 is: 31,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048 : 78,081.84 = 20,885.68 : x
  2. Step 2: Convert to fraction form
    52,048/78,081.84 = 20,885.68/x
  3. Step 3: Cross multiply
    52,048x = 78,081.84 × 20,885.68
  4. Step 4: Simplify right side
    52,048x = 1,630,792,324.05
  5. Step 5: Solve for x
    x = 1,630,792,324.05/52,048
  6. Step 6: Final answer
    x = 31,332.47

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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.