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Finding the Fourth Proportional to 157,894.79, 217,894.86 and 85,297.70

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Solution

The fourth proportional to 157,894.79, 217,894.86 and 85,297.70 is: 117,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.79 : 217,894.86 = 85,297.70 : x
  2. Step 2: Convert to fraction form
    157,894.79/217,894.86 = 85,297.70/x
  3. Step 3: Cross multiply
    157,894.79x = 217,894.86 × 85,297.70
  4. Step 4: Simplify right side
    157,894.79x = 18,585,930,944.56
  5. Step 5: Solve for x
    x = 18,585,930,944.56/157,894.79
  6. Step 6: Final answer
    x = 117,710.86

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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.