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Finding the Fourth Proportional to 127,788.80, 191,706.24 and 43,544.30

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Solution

The fourth proportional to 127,788.80, 191,706.24 and 43,544.30 is: 65,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,788.80 : 191,706.24 = 43,544.30 : x
  2. Step 2: Convert to fraction form
    127,788.80/191,706.24 = 43,544.30/x
  3. Step 3: Cross multiply
    127,788.80x = 191,706.24 × 43,544.30
  4. Step 4: Simplify right side
    127,788.80x = 8,347,714,026.43
  5. Step 5: Solve for x
    x = 8,347,714,026.43/127,788.80
  6. Step 6: Final answer
    x = 65,324.30

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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.