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Finding the Fourth Proportional to 127,710.86, 191,369.34 and 80,865.32

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Solution

The fourth proportional to 127,710.86, 191,369.34 and 80,865.32 is: 121,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710.86 : 191,369.34 = 80,865.32 : x
  2. Step 2: Convert to fraction form
    127,710.86/191,369.34 = 80,865.32/x
  3. Step 3: Cross multiply
    127,710.86x = 191,369.34 × 80,865.32
  4. Step 4: Simplify right side
    127,710.86x = 15,475,142,917.29
  5. Step 5: Solve for x
    x = 15,475,142,917.29/127,710.86
  6. Step 6: Final answer
    x = 121,173.27

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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.