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Finding the Fourth Proportional to 127,992.72, 191,907.02 and 53,164.50

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Solution

The fourth proportional to 127,992.72, 191,907.02 and 53,164.50 is: 79,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,992.72 : 191,907.02 = 53,164.50 : x
  2. Step 2: Convert to fraction form
    127,992.72/191,907.02 = 53,164.50/x
  3. Step 3: Cross multiply
    127,992.72x = 191,907.02 × 53,164.50
  4. Step 4: Simplify right side
    127,992.72x = 10,202,640,764.79
  5. Step 5: Solve for x
    x = 10,202,640,764.79/127,992.72
  6. Step 6: Final answer
    x = 79,712.66

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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.