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Finding the Fourth Proportional to 217,841.60, 326,782.54 and 84,731.96

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Solution

The fourth proportional to 217,841.60, 326,782.54 and 84,731.96 is: 127,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,841.60 : 326,782.54 = 84,731.96 : x
  2. Step 2: Convert to fraction form
    217,841.60/326,782.54 = 84,731.96/x
  3. Step 3: Cross multiply
    217,841.60x = 326,782.54 × 84,731.96
  4. Step 4: Simplify right side
    217,841.60x = 27,688,925,107.98
  5. Step 5: Solve for x
    x = 27,688,925,107.98/217,841.60
  6. Step 6: Final answer
    x = 127,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.