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Finding the Fourth Proportional to 159,322.35, 219,864.78 and 87,702

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Solution

The fourth proportional to 159,322.35, 219,864.78 and 87,702 is: 121,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.35 : 219,864.78 = 87,702 : x
  2. Step 2: Convert to fraction form
    159,322.35/219,864.78 = 87,702/x
  3. Step 3: Cross multiply
    159,322.35x = 219,864.78 × 87,702
  4. Step 4: Simplify right side
    159,322.35x = 19,282,580,935.56
  5. Step 5: Solve for x
    x = 19,282,580,935.56/159,322.35
  6. Step 6: Final answer
    x = 121,028.73

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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.