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Finding the Fourth Proportional to 157,852.66, 217,834.20 and 86,231.28

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Solution

The fourth proportional to 157,852.66, 217,834.20 and 86,231.28 is: 118,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,852.66 : 217,834.20 = 86,231.28 : x
  2. Step 2: Convert to fraction form
    157,852.66/217,834.20 = 86,231.28/x
  3. Step 3: Cross multiply
    157,852.66x = 217,834.20 × 86,231.28
  4. Step 4: Simplify right side
    157,852.66x = 18,784,121,893.78
  5. Step 5: Solve for x
    x = 18,784,121,893.78/157,852.66
  6. Step 6: Final answer
    x = 118,997.82

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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.