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Finding the Fourth Proportional to 265,761, 398,642.94 and 68,769

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Solution

The fourth proportional to 265,761, 398,642.94 and 68,769 is: 103,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,761 : 398,642.94 = 68,769 : x
  2. Step 2: Convert to fraction form
    265,761/398,642.94 = 68,769/x
  3. Step 3: Cross multiply
    265,761x = 398,642.94 × 68,769
  4. Step 4: Simplify right side
    265,761x = 27,414,276,340.86
  5. Step 5: Solve for x
    x = 27,414,276,340.86/265,761
  6. Step 6: Final answer
    x = 103,153.87

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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.