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Finding the Fourth Proportional to 92,343.30, 138,320.55 and 76,791.30

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Solution

The fourth proportional to 92,343.30, 138,320.55 and 76,791.30 is: 115,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343.30 : 138,320.55 = 76,791.30 : x
  2. Step 2: Convert to fraction form
    92,343.30/138,320.55 = 76,791.30/x
  3. Step 3: Cross multiply
    92,343.30x = 138,320.55 × 76,791.30
  4. Step 4: Simplify right side
    92,343.30x = 10,621,814,851.22
  5. Step 5: Solve for x
    x = 10,621,814,851.22/92,343.30
  6. Step 6: Final answer
    x = 115,025.29

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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.