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Finding the Fourth Proportional to 208,005, 312,008.42 and 65,850.96

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Solution

The fourth proportional to 208,005, 312,008.42 and 65,850.96 is: 98,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005 : 312,008.42 = 65,850.96 : x
  2. Step 2: Convert to fraction form
    208,005/312,008.42 = 65,850.96/x
  3. Step 3: Cross multiply
    208,005x = 312,008.42 × 65,850.96
  4. Step 4: Simplify right side
    208,005x = 20,546,053,985.08
  5. Step 5: Solve for x
    x = 20,546,053,985.08/208,005
  6. Step 6: Final answer
    x = 98,776.73

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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.