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Finding the Fourth Proportional to 128,961.80, 193,420.42 and 34,192.64

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Solution

The fourth proportional to 128,961.80, 193,420.42 and 34,192.64 is: 51,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,961.80 : 193,420.42 = 34,192.64 : x
  2. Step 2: Convert to fraction form
    128,961.80/193,420.42 = 34,192.64/x
  3. Step 3: Cross multiply
    128,961.80x = 193,420.42 × 34,192.64
  4. Step 4: Simplify right side
    128,961.80x = 6,613,554,789.71
  5. Step 5: Solve for x
    x = 6,613,554,789.71/128,961.80
  6. Step 6: Final answer
    x = 51,283.05

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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.