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Finding the Fourth Proportional to 54,769.18, 82,103.82 and 19,700.78

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Solution

The fourth proportional to 54,769.18, 82,103.82 and 19,700.78 is: 29,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.18 : 82,103.82 = 19,700.78 : x
  2. Step 2: Convert to fraction form
    54,769.18/82,103.82 = 19,700.78/x
  3. Step 3: Cross multiply
    54,769.18x = 82,103.82 × 19,700.78
  4. Step 4: Simplify right side
    54,769.18x = 1,617,509,294.98
  5. Step 5: Solve for x
    x = 1,617,509,294.98/54,769.18
  6. Step 6: Final answer
    x = 29,533.20

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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.