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Finding the Fourth Proportional to 115,961.76, 160,058.76 and 68,230.50

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Solution

The fourth proportional to 115,961.76, 160,058.76 and 68,230.50 is: 94,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,961.76 : 160,058.76 = 68,230.50 : x
  2. Step 2: Convert to fraction form
    115,961.76/160,058.76 = 68,230.50/x
  3. Step 3: Cross multiply
    115,961.76x = 160,058.76 × 68,230.50
  4. Step 4: Simplify right side
    115,961.76x = 10,920,889,224.18
  5. Step 5: Solve for x
    x = 10,920,889,224.18/115,961.76
  6. Step 6: Final answer
    x = 94,176.64

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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.