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Finding the Fourth Proportional to 127,698.72, 191,572.74 and 43,455.48

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Solution

The fourth proportional to 127,698.72, 191,572.74 and 43,455.48 is: 65,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,698.72 : 191,572.74 = 43,455.48 : x
  2. Step 2: Convert to fraction form
    127,698.72/191,572.74 = 43,455.48/x
  3. Step 3: Cross multiply
    127,698.72x = 191,572.74 × 43,455.48
  4. Step 4: Simplify right side
    127,698.72x = 8,324,885,371.62
  5. Step 5: Solve for x
    x = 8,324,885,371.62/127,698.72
  6. Step 6: Final answer
    x = 65,191.61

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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.