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Finding the Fourth Proportional to 194,784.40, 292,103.70 and 68,375.80

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Solution

The fourth proportional to 194,784.40, 292,103.70 and 68,375.80 is: 102,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784.40 : 292,103.70 = 68,375.80 : x
  2. Step 2: Convert to fraction form
    194,784.40/292,103.70 = 68,375.80/x
  3. Step 3: Cross multiply
    194,784.40x = 292,103.70 × 68,375.80
  4. Step 4: Simplify right side
    194,784.40x = 19,972,824,170.46
  5. Step 5: Solve for x
    x = 19,972,824,170.46/194,784.40
  6. Step 6: Final answer
    x = 102,538.11

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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.