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Finding the Fourth Proportional to 127,504.92, 191,109.54 and 112,742.66

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Solution

The fourth proportional to 127,504.92, 191,109.54 and 112,742.66 is: 168,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,504.92 : 191,109.54 = 112,742.66 : x
  2. Step 2: Convert to fraction form
    127,504.92/191,109.54 = 112,742.66/x
  3. Step 3: Cross multiply
    127,504.92x = 191,109.54 × 112,742.66
  4. Step 4: Simplify right side
    127,504.92x = 21,546,197,890.98
  5. Step 5: Solve for x
    x = 21,546,197,890.98/127,504.92
  6. Step 6: Final answer
    x = 168,983.27

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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.