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Finding the Fourth Proportional to 208,171.62, 312,273.23 and 81,750.87

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Solution

The fourth proportional to 208,171.62, 312,273.23 and 81,750.87 is: 122,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,171.62 : 312,273.23 = 81,750.87 : x
  2. Step 2: Convert to fraction form
    208,171.62/312,273.23 = 81,750.87/x
  3. Step 3: Cross multiply
    208,171.62x = 312,273.23 × 81,750.87
  4. Step 4: Simplify right side
    208,171.62x = 25,528,607,821.46
  5. Step 5: Solve for x
    x = 25,528,607,821.46/208,171.62
  6. Step 6: Final answer
    x = 122,632.51

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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.