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Finding the Fourth Proportional to 76,871.70, 106,083.09 and 42,882.35

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Solution

The fourth proportional to 76,871.70, 106,083.09 and 42,882.35 is: 59,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.70 : 106,083.09 = 42,882.35 : x
  2. Step 2: Convert to fraction form
    76,871.70/106,083.09 = 42,882.35/x
  3. Step 3: Cross multiply
    76,871.70x = 106,083.09 × 42,882.35
  4. Step 4: Simplify right side
    76,871.70x = 4,549,091,664.05
  5. Step 5: Solve for x
    x = 4,549,091,664.05/76,871.70
  6. Step 6: Final answer
    x = 59,177.72

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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.