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Finding the Fourth Proportional to 208,311.97, 312,484.15 and 68,084.77

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Solution

The fourth proportional to 208,311.97, 312,484.15 and 68,084.77 is: 102,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.97 : 312,484.15 = 68,084.77 : x
  2. Step 2: Convert to fraction form
    208,311.97/312,484.15 = 68,084.77/x
  3. Step 3: Cross multiply
    208,311.97x = 312,484.15 × 68,084.77
  4. Step 4: Simplify right side
    208,311.97x = 21,275,411,481.40
  5. Step 5: Solve for x
    x = 21,275,411,481.40/208,311.97
  6. Step 6: Final answer
    x = 102,132.45

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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.