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Finding the Fourth Proportional to 159,565.84, 220,213.52 and 87,958.60

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Solution

The fourth proportional to 159,565.84, 220,213.52 and 87,958.60 is: 121,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,565.84 : 220,213.52 = 87,958.60 : x
  2. Step 2: Convert to fraction form
    159,565.84/220,213.52 = 87,958.60/x
  3. Step 3: Cross multiply
    159,565.84x = 220,213.52 × 87,958.60
  4. Step 4: Simplify right side
    159,565.84x = 19,369,672,920.27
  5. Step 5: Solve for x
    x = 19,369,672,920.27/159,565.84
  6. Step 6: Final answer
    x = 121,389.85

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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.