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Finding the Fourth Proportional to 54,979.50, 75,871.98 and 29,829

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Solution

The fourth proportional to 54,979.50, 75,871.98 and 29,829 is: 41,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,979.50 : 75,871.98 = 29,829 : x
  2. Step 2: Convert to fraction form
    54,979.50/75,871.98 = 29,829/x
  3. Step 3: Cross multiply
    54,979.50x = 75,871.98 × 29,829
  4. Step 4: Simplify right side
    54,979.50x = 2,263,185,291.42
  5. Step 5: Solve for x
    x = 2,263,185,291.42/54,979.50
  6. Step 6: Final answer
    x = 41,164.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.