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Finding the Fourth Proportional to 159,406.84, 219,979.78 and 87,785.34

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Solution

The fourth proportional to 159,406.84, 219,979.78 and 87,785.34 is: 121,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,406.84 : 219,979.78 = 87,785.34 : x
  2. Step 2: Convert to fraction form
    159,406.84/219,979.78 = 87,785.34/x
  3. Step 3: Cross multiply
    159,406.84x = 219,979.78 × 87,785.34
  4. Step 4: Simplify right side
    159,406.84x = 19,310,999,780.43
  5. Step 5: Solve for x
    x = 19,310,999,780.43/159,406.84
  6. Step 6: Final answer
    x = 121,142.86

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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.