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Finding the Fourth Proportional to 159,444.31, 220,033.74 and 87,824.16

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Solution

The fourth proportional to 159,444.31, 220,033.74 and 87,824.16 is: 121,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,444.31 : 220,033.74 = 87,824.16 : x
  2. Step 2: Convert to fraction form
    159,444.31/220,033.74 = 87,824.16/x
  3. Step 3: Cross multiply
    159,444.31x = 220,033.74 × 87,824.16
  4. Step 4: Simplify right side
    159,444.31x = 19,324,276,847.87
  5. Step 5: Solve for x
    x = 19,324,276,847.87/159,444.31
  6. Step 6: Final answer
    x = 121,197.66

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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.