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Finding the Fourth Proportional to 138,998, 191,816.16 and 75,334.16

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Solution

The fourth proportional to 138,998, 191,816.16 and 75,334.16 is: 103,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998 : 191,816.16 = 75,334.16 : x
  2. Step 2: Convert to fraction form
    138,998/191,816.16 = 75,334.16/x
  3. Step 3: Cross multiply
    138,998x = 191,816.16 × 75,334.16
  4. Step 4: Simplify right side
    138,998x = 14,450,309,288.03
  5. Step 5: Solve for x
    x = 14,450,309,288.03/138,998
  6. Step 6: Final answer
    x = 103,960.56

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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.