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Finding the Fourth Proportional to 138,695.82, 191,405.14 and 78,262.94

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Solution

The fourth proportional to 138,695.82, 191,405.14 and 78,262.94 is: 108,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,695.82 : 191,405.14 = 78,262.94 : x
  2. Step 2: Convert to fraction form
    138,695.82/191,405.14 = 78,262.94/x
  3. Step 3: Cross multiply
    138,695.82x = 191,405.14 × 78,262.94
  4. Step 4: Simplify right side
    138,695.82x = 14,979,928,987.51
  5. Step 5: Solve for x
    x = 14,979,928,987.51/138,695.82
  6. Step 6: Final answer
    x = 108,005.63

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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.