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Finding the Fourth Proportional to 71,857.81, 107,842.05 and 57,852.10

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Solution

The fourth proportional to 71,857.81, 107,842.05 and 57,852.10 is: 86,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.81 : 107,842.05 = 57,852.10 : x
  2. Step 2: Convert to fraction form
    71,857.81/107,842.05 = 57,852.10/x
  3. Step 3: Cross multiply
    71,857.81x = 107,842.05 × 57,852.10
  4. Step 4: Simplify right side
    71,857.81x = 6,238,889,060.81
  5. Step 5: Solve for x
    x = 6,238,889,060.81/71,857.81
  6. Step 6: Final answer
    x = 86,822.70

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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.