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Finding the Fourth Proportional to 157,939.32, 217,955.74 and 86,319.32

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Solution

The fourth proportional to 157,939.32, 217,955.74 and 86,319.32 is: 119,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,939.32 : 217,955.74 = 86,319.32 : x
  2. Step 2: Convert to fraction form
    157,939.32/217,955.74 = 86,319.32/x
  3. Step 3: Cross multiply
    157,939.32x = 217,955.74 × 86,319.32
  4. Step 4: Simplify right side
    157,939.32x = 18,813,790,835.30
  5. Step 5: Solve for x
    x = 18,813,790,835.30/157,939.32
  6. Step 6: Final answer
    x = 119,120.37

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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.