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Finding the Fourth Proportional to 194,743.80, 292,115.70 and 100,265.40

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Solution

The fourth proportional to 194,743.80, 292,115.70 and 100,265.40 is: 150,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,743.80 : 292,115.70 = 100,265.40 : x
  2. Step 2: Convert to fraction form
    194,743.80/292,115.70 = 100,265.40/x
  3. Step 3: Cross multiply
    194,743.80x = 292,115.70 × 100,265.40
  4. Step 4: Simplify right side
    194,743.80x = 29,289,097,506.78
  5. Step 5: Solve for x
    x = 29,289,097,506.78/194,743.80
  6. Step 6: Final answer
    x = 150,398.10

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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.