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Finding the Fourth Proportional to 40,764, 61,147.80 and 11,181.16

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Solution

The fourth proportional to 40,764, 61,147.80 and 11,181.16 is: 16,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 61,147.80 = 11,181.16 : x
  2. Step 2: Convert to fraction form
    40,764/61,147.80 = 11,181.16/x
  3. Step 3: Cross multiply
    40,764x = 61,147.80 × 11,181.16
  4. Step 4: Simplify right side
    40,764x = 683,703,335.45
  5. Step 5: Solve for x
    x = 683,703,335.45/40,764
  6. Step 6: Final answer
    x = 16,772.23

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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.