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Finding the Fourth Proportional to 208,911.90, 313,153.35 and 82,500.90

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Solution

The fourth proportional to 208,911.90, 313,153.35 and 82,500.90 is: 123,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.90 : 313,153.35 = 82,500.90 : x
  2. Step 2: Convert to fraction form
    208,911.90/313,153.35 = 82,500.90/x
  3. Step 3: Cross multiply
    208,911.90x = 313,153.35 × 82,500.90
  4. Step 4: Simplify right side
    208,911.90x = 25,835,433,213.02
  5. Step 5: Solve for x
    x = 25,835,433,213.02/208,911.90
  6. Step 6: Final answer
    x = 123,666.64

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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.