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Finding the Fourth Proportional to 157,575.83, 217,453.26 and 85,954.31

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Solution

The fourth proportional to 157,575.83, 217,453.26 and 85,954.31 is: 118,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,575.83 : 217,453.26 = 85,954.31 : x
  2. Step 2: Convert to fraction form
    157,575.83/217,453.26 = 85,954.31/x
  3. Step 3: Cross multiply
    157,575.83x = 217,453.26 × 85,954.31
  4. Step 4: Simplify right side
    157,575.83x = 18,691,045,710.74
  5. Step 5: Solve for x
    x = 18,691,045,710.74/157,575.83
  6. Step 6: Final answer
    x = 118,616.20

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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.