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Finding the Fourth Proportional to 138,651.30, 191,362.32 and 78,239.07

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Solution

The fourth proportional to 138,651.30, 191,362.32 and 78,239.07 is: 107,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651.30 : 191,362.32 = 78,239.07 : x
  2. Step 2: Convert to fraction form
    138,651.30/191,362.32 = 78,239.07/x
  3. Step 3: Cross multiply
    138,651.30x = 191,362.32 × 78,239.07
  4. Step 4: Simplify right side
    138,651.30x = 14,972,009,949.84
  5. Step 5: Solve for x
    x = 14,972,009,949.84/138,651.30
  6. Step 6: Final answer
    x = 107,983.19

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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.