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Finding the Fourth Proportional to 160,103.44, 240,196.65 and 85,161.88

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Solution

The fourth proportional to 160,103.44, 240,196.65 and 85,161.88 is: 127,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,103.44 : 240,196.65 = 85,161.88 : x
  2. Step 2: Convert to fraction form
    160,103.44/240,196.65 = 85,161.88/x
  3. Step 3: Cross multiply
    160,103.44x = 240,196.65 × 85,161.88
  4. Step 4: Simplify right side
    160,103.44x = 20,455,598,283.70
  5. Step 5: Solve for x
    x = 20,455,598,283.70/160,103.44
  6. Step 6: Final answer
    x = 127,764.89

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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.