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Finding the Fourth Proportional to 157,295.78, 217,115.61 and 107,023.94

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Solution

The fourth proportional to 157,295.78, 217,115.61 and 107,023.94 is: 147,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,295.78 : 217,115.61 = 107,023.94 : x
  2. Step 2: Convert to fraction form
    157,295.78/217,115.61 = 107,023.94/x
  3. Step 3: Cross multiply
    157,295.78x = 217,115.61 × 107,023.94
  4. Step 4: Simplify right side
    157,295.78x = 23,236,568,017.70
  5. Step 5: Solve for x
    x = 23,236,568,017.70/157,295.78
  6. Step 6: Final answer
    x = 147,725.31

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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.