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Finding the Fourth Proportional to 135,846, 187,467.84 and 76,230

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Solution

The fourth proportional to 135,846, 187,467.84 and 76,230 is: 105,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,846 : 187,467.84 = 76,230 : x
  2. Step 2: Convert to fraction form
    135,846/187,467.84 = 76,230/x
  3. Step 3: Cross multiply
    135,846x = 187,467.84 × 76,230
  4. Step 4: Simplify right side
    135,846x = 14,290,673,443.20
  5. Step 5: Solve for x
    x = 14,290,673,443.20/135,846
  6. Step 6: Final answer
    x = 105,197.60

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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.