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Finding the Fourth Proportional to 92,002.30, 138,003.45 and 81,504.70

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Solution

The fourth proportional to 92,002.30, 138,003.45 and 81,504.70 is: 122,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,002.30 : 138,003.45 = 81,504.70 : x
  2. Step 2: Convert to fraction form
    92,002.30/138,003.45 = 81,504.70/x
  3. Step 3: Cross multiply
    92,002.30x = 138,003.45 × 81,504.70
  4. Step 4: Simplify right side
    92,002.30x = 11,247,929,791.22
  5. Step 5: Solve for x
    x = 11,247,929,791.22/92,002.30
  6. Step 6: Final answer
    x = 122,257.05

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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.