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Finding the Fourth Proportional to 140,889.54, 194,456.94 and 129,541.10

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Solution

The fourth proportional to 140,889.54, 194,456.94 and 129,541.10 is: 178,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,889.54 : 194,456.94 = 129,541.10 : x
  2. Step 2: Convert to fraction form
    140,889.54/194,456.94 = 129,541.10/x
  3. Step 3: Cross multiply
    140,889.54x = 194,456.94 × 129,541.10
  4. Step 4: Simplify right side
    140,889.54x = 25,190,164,937.95
  5. Step 5: Solve for x
    x = 25,190,164,937.95/140,889.54
  6. Step 6: Final answer
    x = 178,793.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.