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Finding the Fourth Proportional to 127,887.80, 191,601.86 and 75,268.58

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Solution

The fourth proportional to 127,887.80, 191,601.86 and 75,268.58 is: 112,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,887.80 : 191,601.86 = 75,268.58 : x
  2. Step 2: Convert to fraction form
    127,887.80/191,601.86 = 75,268.58/x
  3. Step 3: Cross multiply
    127,887.80x = 191,601.86 × 75,268.58
  4. Step 4: Simplify right side
    127,887.80x = 14,421,598,593.21
  5. Step 5: Solve for x
    x = 14,421,598,593.21/127,887.80
  6. Step 6: Final answer
    x = 112,767.59

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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.