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Finding the Fourth Proportional to 157,939.96, 217,956.36 and 86,318.32

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Solution

The fourth proportional to 157,939.96, 217,956.36 and 86,318.32 is: 119,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,939.96 : 217,956.36 = 86,318.32 : x
  2. Step 2: Convert to fraction form
    157,939.96/217,956.36 = 86,318.32/x
  3. Step 3: Cross multiply
    157,939.96x = 217,956.36 × 86,318.32
  4. Step 4: Simplify right side
    157,939.96x = 18,813,626,828.52
  5. Step 5: Solve for x
    x = 18,813,626,828.52/157,939.96
  6. Step 6: Final answer
    x = 119,118.85

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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.