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Finding the Fourth Proportional to 208,749.87, 313,125.75 and 88,775.91

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Solution

The fourth proportional to 208,749.87, 313,125.75 and 88,775.91 is: 133,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,749.87 : 313,125.75 = 88,775.91 : x
  2. Step 2: Convert to fraction form
    208,749.87/313,125.75 = 88,775.91/x
  3. Step 3: Cross multiply
    208,749.87x = 313,125.75 × 88,775.91
  4. Step 4: Simplify right side
    208,749.87x = 27,798,023,400.68
  5. Step 5: Solve for x
    x = 27,798,023,400.68/208,749.87
  6. Step 6: Final answer
    x = 133,164.27

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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.