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Finding the Fourth Proportional to 205,191.67, 307,884.98 and 142,108.87

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Solution

The fourth proportional to 205,191.67, 307,884.98 and 142,108.87 is: 213,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,191.67 : 307,884.98 = 142,108.87 : x
  2. Step 2: Convert to fraction form
    205,191.67/307,884.98 = 142,108.87/x
  3. Step 3: Cross multiply
    205,191.67x = 307,884.98 × 142,108.87
  4. Step 4: Simplify right side
    205,191.67x = 43,753,186,597.77
  5. Step 5: Solve for x
    x = 43,753,186,597.77/205,191.67
  6. Step 6: Final answer
    x = 213,230.81

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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.