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Finding the Fourth Proportional to 115,961.50, 160,026.87 and 65,660.50

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Solution

The fourth proportional to 115,961.50, 160,026.87 and 65,660.50 is: 90,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,961.50 : 160,026.87 = 65,660.50 : x
  2. Step 2: Convert to fraction form
    115,961.50/160,026.87 = 65,660.50/x
  3. Step 3: Cross multiply
    115,961.50x = 160,026.87 × 65,660.50
  4. Step 4: Simplify right side
    115,961.50x = 10,507,444,297.64
  5. Step 5: Solve for x
    x = 10,507,444,297.64/115,961.50
  6. Step 6: Final answer
    x = 90,611.49

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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.