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Finding the Fourth Proportional to 76,871.49, 115,257.84 and 31,923.85

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Solution

The fourth proportional to 76,871.49, 115,257.84 and 31,923.85 is: 47,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.49 : 115,257.84 = 31,923.85 : x
  2. Step 2: Convert to fraction form
    76,871.49/115,257.84 = 31,923.85/x
  3. Step 3: Cross multiply
    76,871.49x = 115,257.84 × 31,923.85
  4. Step 4: Simplify right side
    76,871.49x = 3,679,473,547.72
  5. Step 5: Solve for x
    x = 3,679,473,547.72/76,871.49
  6. Step 6: Final answer
    x = 47,865.26

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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.