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Finding the Fourth Proportional to 177,820.61, 266,939.28 and 140,405.90

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Solution

The fourth proportional to 177,820.61, 266,939.28 and 140,405.90 is: 210,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820.61 : 266,939.28 = 140,405.90 : x
  2. Step 2: Convert to fraction form
    177,820.61/266,939.28 = 140,405.90/x
  3. Step 3: Cross multiply
    177,820.61x = 266,939.28 × 140,405.90
  4. Step 4: Simplify right side
    177,820.61x = 37,479,848,519.06
  5. Step 5: Solve for x
    x = 37,479,848,519.06/177,820.61
  6. Step 6: Final answer
    x = 210,773.37

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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.