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Finding the Fourth Proportional to 138,950.51, 191,749.20 and 78,519.86

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Solution

The fourth proportional to 138,950.51, 191,749.20 and 78,519.86 is: 108,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,950.51 : 191,749.20 = 78,519.86 : x
  2. Step 2: Convert to fraction form
    138,950.51/191,749.20 = 78,519.86/x
  3. Step 3: Cross multiply
    138,950.51x = 191,749.20 × 78,519.86
  4. Step 4: Simplify right side
    138,950.51x = 15,056,120,339.11
  5. Step 5: Solve for x
    x = 15,056,120,339.11/138,950.51
  6. Step 6: Final answer
    x = 108,355.99

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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.