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Finding the Fourth Proportional to 177,856.40, 266,201.40 and 138,198.80

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Solution

The fourth proportional to 177,856.40, 266,201.40 and 138,198.80 is: 206,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856.40 : 266,201.40 = 138,198.80 : x
  2. Step 2: Convert to fraction form
    177,856.40/266,201.40 = 138,198.80/x
  3. Step 3: Cross multiply
    177,856.40x = 266,201.40 × 138,198.80
  4. Step 4: Simplify right side
    177,856.40x = 36,788,714,038.32
  5. Step 5: Solve for x
    x = 36,788,714,038.32/177,856.40
  6. Step 6: Final answer
    x = 206,845.04

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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.