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Finding the Fourth Proportional to 115,977.40, 160,046.10 and 68,233.82

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Solution

The fourth proportional to 115,977.40, 160,046.10 and 68,233.82 is: 94,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,977.40 : 160,046.10 = 68,233.82 : x
  2. Step 2: Convert to fraction form
    115,977.40/160,046.10 = 68,233.82/x
  3. Step 3: Cross multiply
    115,977.40x = 160,046.10 × 68,233.82
  4. Step 4: Simplify right side
    115,977.40x = 10,920,555,978.87
  5. Step 5: Solve for x
    x = 10,920,555,978.87/115,977.40
  6. Step 6: Final answer
    x = 94,161.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.