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Finding the Fourth Proportional to 201,691.83, 302,534.98 and 68,664.86

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Solution

The fourth proportional to 201,691.83, 302,534.98 and 68,664.86 is: 102,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,691.83 : 302,534.98 = 68,664.86 : x
  2. Step 2: Convert to fraction form
    201,691.83/302,534.98 = 68,664.86/x
  3. Step 3: Cross multiply
    201,691.83x = 302,534.98 × 68,664.86
  4. Step 4: Simplify right side
    201,691.83x = 20,773,520,362.47
  5. Step 5: Solve for x
    x = 20,773,520,362.47/201,691.83
  6. Step 6: Final answer
    x = 102,996.34

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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.