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Finding the Fourth Proportional to 194,805.40, 292,208.10 and 159,784.60

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Solution

The fourth proportional to 194,805.40, 292,208.10 and 159,784.60 is: 239,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.40 : 292,208.10 = 159,784.60 : x
  2. Step 2: Convert to fraction form
    194,805.40/292,208.10 = 159,784.60/x
  3. Step 3: Cross multiply
    194,805.40x = 292,208.10 × 159,784.60
  4. Step 4: Simplify right side
    194,805.40x = 46,690,354,375.26
  5. Step 5: Solve for x
    x = 46,690,354,375.26/194,805.40
  6. Step 6: Final answer
    x = 239,676.90

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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.