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Finding the Fourth Proportional to 159,138.59, 219,603.08 and 87,516.77

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Solution

The fourth proportional to 159,138.59, 219,603.08 and 87,516.77 is: 120,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,138.59 : 219,603.08 = 87,516.77 : x
  2. Step 2: Convert to fraction form
    159,138.59/219,603.08 = 87,516.77/x
  3. Step 3: Cross multiply
    159,138.59x = 219,603.08 × 87,516.77
  4. Step 4: Simplify right side
    159,138.59x = 19,218,951,364.43
  5. Step 5: Solve for x
    x = 19,218,951,364.43/159,138.59
  6. Step 6: Final answer
    x = 120,768.65

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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.