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Finding the Fourth Proportional to 157,295.25, 217,067.76 and 85,675.05

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Solution

The fourth proportional to 157,295.25, 217,067.76 and 85,675.05 is: 118,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,295.25 : 217,067.76 = 85,675.05 : x
  2. Step 2: Convert to fraction form
    157,295.25/217,067.76 = 85,675.05/x
  3. Step 3: Cross multiply
    157,295.25x = 217,067.76 × 85,675.05
  4. Step 4: Simplify right side
    157,295.25x = 18,597,291,191.39
  5. Step 5: Solve for x
    x = 18,597,291,191.39/157,295.25
  6. Step 6: Final answer
    x = 118,231.74

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1.5x scale

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.