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Finding the Fourth Proportional to 159,883.12, 220,639.19 and 87,286.13

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Solution

The fourth proportional to 159,883.12, 220,639.19 and 87,286.13 is: 120,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,883.12 : 220,639.19 = 87,286.13 : x
  2. Step 2: Convert to fraction form
    159,883.12/220,639.19 = 87,286.13/x
  3. Step 3: Cross multiply
    159,883.12x = 220,639.19 × 87,286.13
  4. Step 4: Simplify right side
    159,883.12x = 19,258,741,021.43
  5. Step 5: Solve for x
    x = 19,258,741,021.43/159,883.12
  6. Step 6: Final answer
    x = 120,455.12

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1.5x scale

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.