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Finding the Fourth Proportional to 159,384.43, 219,952.01 and 87,767.06

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Solution

The fourth proportional to 159,384.43, 219,952.01 and 87,767.06 is: 121,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,384.43 : 219,952.01 = 87,767.06 : x
  2. Step 2: Convert to fraction form
    159,384.43/219,952.01 = 87,767.06/x
  3. Step 3: Cross multiply
    159,384.43x = 219,952.01 × 87,767.06
  4. Step 4: Simplify right side
    159,384.43x = 19,304,540,819.96
  5. Step 5: Solve for x
    x = 19,304,540,819.96/159,384.43
  6. Step 6: Final answer
    x = 121,119.37

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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.