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Finding the Fourth Proportional to 157,796.55, 217,755.78 and 86,176.86

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Solution

The fourth proportional to 157,796.55, 217,755.78 and 86,176.86 is: 118,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,796.55 : 217,755.78 = 86,176.86 : x
  2. Step 2: Convert to fraction form
    157,796.55/217,755.78 = 86,176.86/x
  3. Step 3: Cross multiply
    157,796.55x = 217,755.78 × 86,176.86
  4. Step 4: Simplify right side
    157,796.55x = 18,765,509,367.25
  5. Step 5: Solve for x
    x = 18,765,509,367.25/157,796.55
  6. Step 6: Final answer
    x = 118,922.18

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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.