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Finding the Fourth Proportional to 217,886.45, 326,841.96 and 77,645.07

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Solution

The fourth proportional to 217,886.45, 326,841.96 and 77,645.07 is: 116,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,886.45 : 326,841.96 = 77,645.07 : x
  2. Step 2: Convert to fraction form
    217,886.45/326,841.96 = 77,645.07/x
  3. Step 3: Cross multiply
    217,886.45x = 326,841.96 × 77,645.07
  4. Step 4: Simplify right side
    217,886.45x = 25,377,666,863.14
  5. Step 5: Solve for x
    x = 25,377,666,863.14/217,886.45
  6. Step 6: Final answer
    x = 116,471.99

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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.