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Finding the Fourth Proportional to 55,381.65, 83,072.46 and 30,579.40

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Solution

The fourth proportional to 55,381.65, 83,072.46 and 30,579.40 is: 45,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,381.65 : 83,072.46 = 30,579.40 : x
  2. Step 2: Convert to fraction form
    55,381.65/83,072.46 = 30,579.40/x
  3. Step 3: Cross multiply
    55,381.65x = 83,072.46 × 30,579.40
  4. Step 4: Simplify right side
    55,381.65x = 2,540,305,567.96
  5. Step 5: Solve for x
    x = 2,540,305,567.96/55,381.65
  6. Step 6: Final answer
    x = 45,869.09

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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.