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Finding the Fourth Proportional to 157,443.58, 217,267.80 and 85,825

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Solution

The fourth proportional to 157,443.58, 217,267.80 and 85,825 is: 118,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,443.58 : 217,267.80 = 85,825 : x
  2. Step 2: Convert to fraction form
    157,443.58/217,267.80 = 85,825/x
  3. Step 3: Cross multiply
    157,443.58x = 217,267.80 × 85,825
  4. Step 4: Simplify right side
    157,443.58x = 18,647,008,935
  5. Step 5: Solve for x
    x = 18,647,008,935/157,443.58
  6. Step 6: Final answer
    x = 118,436.13

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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.