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Finding the Fourth Proportional to 157,295.88, 217,065.30 and 85,675.08

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Solution

The fourth proportional to 157,295.88, 217,065.30 and 85,675.08 is: 118,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,295.88 : 217,065.30 = 85,675.08 : x
  2. Step 2: Convert to fraction form
    157,295.88/217,065.30 = 85,675.08/x
  3. Step 3: Cross multiply
    157,295.88x = 217,065.30 × 85,675.08
  4. Step 4: Simplify right side
    157,295.88x = 18,597,086,942.72
  5. Step 5: Solve for x
    x = 18,597,086,942.72/157,295.88
  6. Step 6: Final answer
    x = 118,229.97

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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.