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Finding the Fourth Proportional to 208,209.70, 312,267.77 and 95,781.94

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Solution

The fourth proportional to 208,209.70, 312,267.77 and 95,781.94 is: 143,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,209.70 : 312,267.77 = 95,781.94 : x
  2. Step 2: Convert to fraction form
    208,209.70/312,267.77 = 95,781.94/x
  3. Step 3: Cross multiply
    208,209.70x = 312,267.77 × 95,781.94
  4. Step 4: Simplify right side
    208,209.70x = 29,909,612,810.07
  5. Step 5: Solve for x
    x = 29,909,612,810.07/208,209.70
  6. Step 6: Final answer
    x = 143,651.39

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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.