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Finding the Fourth Proportional to 157,412.85, 217,223.40 and 85,791.33

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Solution

The fourth proportional to 157,412.85, 217,223.40 and 85,791.33 is: 118,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412.85 : 217,223.40 = 85,791.33 : x
  2. Step 2: Convert to fraction form
    157,412.85/217,223.40 = 85,791.33/x
  3. Step 3: Cross multiply
    157,412.85x = 217,223.40 × 85,791.33
  4. Step 4: Simplify right side
    157,412.85x = 18,635,884,714.84
  5. Step 5: Solve for x
    x = 18,635,884,714.84/157,412.85
  6. Step 6: Final answer
    x = 118,388.59

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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.