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Finding the Fourth Proportional to 208,509.90, 312,522.91 and 95,953.82

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Solution

The fourth proportional to 208,509.90, 312,522.91 and 95,953.82 is: 143,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.90 : 312,522.91 = 95,953.82 : x
  2. Step 2: Convert to fraction form
    208,509.90/312,522.91 = 95,953.82/x
  3. Step 3: Cross multiply
    208,509.90x = 312,522.91 × 95,953.82
  4. Step 4: Simplify right side
    208,509.90x = 29,987,765,249.52
  5. Step 5: Solve for x
    x = 29,987,765,249.52/208,509.90
  6. Step 6: Final answer
    x = 143,819.39

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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.