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Finding the Fourth Proportional to 138,521.25, 191,159.37 and 78,905.25

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Solution

The fourth proportional to 138,521.25, 191,159.37 and 78,905.25 is: 108,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521.25 : 191,159.37 = 78,905.25 : x
  2. Step 2: Convert to fraction form
    138,521.25/191,159.37 = 78,905.25/x
  3. Step 3: Cross multiply
    138,521.25x = 191,159.37 × 78,905.25
  4. Step 4: Simplify right side
    138,521.25x = 15,083,477,879.69
  5. Step 5: Solve for x
    x = 15,083,477,879.69/138,521.25
  6. Step 6: Final answer
    x = 108,889.27

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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.