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Finding the Fourth Proportional to 157,270.26, 217,026 and 85,645.98

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Solution

The fourth proportional to 157,270.26, 217,026 and 85,645.98 is: 118,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,270.26 : 217,026 = 85,645.98 : x
  2. Step 2: Convert to fraction form
    157,270.26/217,026 = 85,645.98/x
  3. Step 3: Cross multiply
    157,270.26x = 217,026 × 85,645.98
  4. Step 4: Simplify right side
    157,270.26x = 18,587,404,455.48
  5. Step 5: Solve for x
    x = 18,587,404,455.48/157,270.26
  6. Step 6: Final answer
    x = 118,187.66

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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.