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Finding the Fourth Proportional to 234,590.82, 351,806.85 and 76,780.14

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Solution

The fourth proportional to 234,590.82, 351,806.85 and 76,780.14 is: 115,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,590.82 : 351,806.85 = 76,780.14 : x
  2. Step 2: Convert to fraction form
    234,590.82/351,806.85 = 76,780.14/x
  3. Step 3: Cross multiply
    234,590.82x = 351,806.85 × 76,780.14
  4. Step 4: Simplify right side
    234,590.82x = 27,011,779,195.96
  5. Step 5: Solve for x
    x = 27,011,779,195.96/234,590.82
  6. Step 6: Final answer
    x = 115,144.23

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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.