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Finding the Fourth Proportional to 159,406.40, 219,990.83 and 87,786.41

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Solution

The fourth proportional to 159,406.40, 219,990.83 and 87,786.41 is: 121,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,406.40 : 219,990.83 = 87,786.41 : x
  2. Step 2: Convert to fraction form
    159,406.40/219,990.83 = 87,786.41/x
  3. Step 3: Cross multiply
    159,406.40x = 219,990.83 × 87,786.41
  4. Step 4: Simplify right side
    159,406.40x = 19,312,205,309.67
  5. Step 5: Solve for x
    x = 19,312,205,309.67/159,406.40
  6. Step 6: Final answer
    x = 121,150.76

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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.