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Finding the Fourth Proportional to 92,492.30, 138,738.45 and 84,181.70

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Solution

The fourth proportional to 92,492.30, 138,738.45 and 84,181.70 is: 126,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,492.30 : 138,738.45 = 84,181.70 : x
  2. Step 2: Convert to fraction form
    92,492.30/138,738.45 = 84,181.70/x
  3. Step 3: Cross multiply
    92,492.30x = 138,738.45 × 84,181.70
  4. Step 4: Simplify right side
    92,492.30x = 11,679,238,576.37
  5. Step 5: Solve for x
    x = 11,679,238,576.37/92,492.30
  6. Step 6: Final answer
    x = 126,272.55

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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.