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Finding the Fourth Proportional to 54,756.48, 82,134.72 and 19,698.87

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Solution

The fourth proportional to 54,756.48, 82,134.72 and 19,698.87 is: 29,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756.48 : 82,134.72 = 19,698.87 : x
  2. Step 2: Convert to fraction form
    54,756.48/82,134.72 = 19,698.87/x
  3. Step 3: Cross multiply
    54,756.48x = 82,134.72 × 19,698.87
  4. Step 4: Simplify right side
    54,756.48x = 1,617,961,171.77
  5. Step 5: Solve for x
    x = 1,617,961,171.77/54,756.48
  6. Step 6: Final answer
    x = 29,548.31

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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.