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Finding the Fourth Proportional to 138,707.76, 191,369.16 and 78,270.96

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Solution

The fourth proportional to 138,707.76, 191,369.16 and 78,270.96 is: 107,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.76 : 191,369.16 = 78,270.96 : x
  2. Step 2: Convert to fraction form
    138,707.76/191,369.16 = 78,270.96/x
  3. Step 3: Cross multiply
    138,707.76x = 191,369.16 × 78,270.96
  4. Step 4: Simplify right side
    138,707.76x = 14,978,647,867.59
  5. Step 5: Solve for x
    x = 14,978,647,867.59/138,707.76
  6. Step 6: Final answer
    x = 107,987.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.