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Finding the Fourth Proportional to 217,801.23, 326,714.13 and 77,559.87

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Solution

The fourth proportional to 217,801.23, 326,714.13 and 77,559.87 is: 116,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,801.23 : 326,714.13 = 77,559.87 : x
  2. Step 2: Convert to fraction form
    217,801.23/326,714.13 = 77,559.87/x
  3. Step 3: Cross multiply
    217,801.23x = 326,714.13 × 77,559.87
  4. Step 4: Simplify right side
    217,801.23x = 25,339,905,449.96
  5. Step 5: Solve for x
    x = 25,339,905,449.96/217,801.23
  6. Step 6: Final answer
    x = 116,344.18

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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.