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Finding the Fourth Proportional to 115,963.75, 160,127.48 and 87,233.61

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Solution

The fourth proportional to 115,963.75, 160,127.48 and 87,233.61 is: 120,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,963.75 : 160,127.48 = 87,233.61 : x
  2. Step 2: Convert to fraction form
    115,963.75/160,127.48 = 87,233.61/x
  3. Step 3: Cross multiply
    115,963.75x = 160,127.48 × 87,233.61
  4. Step 4: Simplify right side
    115,963.75x = 13,968,498,058.45
  5. Step 5: Solve for x
    x = 13,968,498,058.45/115,963.75
  6. Step 6: Final answer
    x = 120,455.73

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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.