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Finding the Fourth Proportional to 92,106.17, 138,072.98 and 83,889.12

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Solution

The fourth proportional to 92,106.17, 138,072.98 and 83,889.12 is: 125,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106.17 : 138,072.98 = 83,889.12 : x
  2. Step 2: Convert to fraction form
    92,106.17/138,072.98 = 83,889.12/x
  3. Step 3: Cross multiply
    92,106.17x = 138,072.98 × 83,889.12
  4. Step 4: Simplify right side
    92,106.17x = 11,582,820,997.70
  5. Step 5: Solve for x
    x = 11,582,820,997.70/92,106.17
  6. Step 6: Final answer
    x = 125,755.11

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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.