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Finding the Fourth Proportional to 262,807.10, 394,113.45 and 85,319.90

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Solution

The fourth proportional to 262,807.10, 394,113.45 and 85,319.90 is: 127,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.10 : 394,113.45 = 85,319.90 : x
  2. Step 2: Convert to fraction form
    262,807.10/394,113.45 = 85,319.90/x
  3. Step 3: Cross multiply
    262,807.10x = 394,113.45 × 85,319.90
  4. Step 4: Simplify right side
    262,807.10x = 33,625,720,142.66
  5. Step 5: Solve for x
    x = 33,625,720,142.66/262,807.10
  6. Step 6: Final answer
    x = 127,948.29

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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.