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Finding the Fourth Proportional to 71,858.81, 107,843.55 and 57,853.10

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Solution

The fourth proportional to 71,858.81, 107,843.55 and 57,853.10 is: 86,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.81 : 107,843.55 = 57,853.10 : x
  2. Step 2: Convert to fraction form
    71,858.81/107,843.55 = 57,853.10/x
  3. Step 3: Cross multiply
    71,858.81x = 107,843.55 × 57,853.10
  4. Step 4: Simplify right side
    71,858.81x = 6,239,083,682.51
  5. Step 5: Solve for x
    x = 6,239,083,682.51/71,858.81
  6. Step 6: Final answer
    x = 86,824.20

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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.