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Finding the Fourth Proportional to 127,644.17, 191,451.65 and 34,157.21

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Solution

The fourth proportional to 127,644.17, 191,451.65 and 34,157.21 is: 51,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644.17 : 191,451.65 = 34,157.21 : x
  2. Step 2: Convert to fraction form
    127,644.17/191,451.65 = 34,157.21/x
  3. Step 3: Cross multiply
    127,644.17x = 191,451.65 × 34,157.21
  4. Step 4: Simplify right side
    127,644.17x = 6,539,453,085.85
  5. Step 5: Solve for x
    x = 6,539,453,085.85/127,644.17
  6. Step 6: Final answer
    x = 51,231.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.