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Finding the Fourth Proportional to 138,812.70, 191,561.28 and 75,150.48

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Solution

The fourth proportional to 138,812.70, 191,561.28 and 75,150.48 is: 103,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,812.70 : 191,561.28 = 75,150.48 : x
  2. Step 2: Convert to fraction form
    138,812.70/191,561.28 = 75,150.48/x
  3. Step 3: Cross multiply
    138,812.70x = 191,561.28 × 75,150.48
  4. Step 4: Simplify right side
    138,812.70x = 14,395,922,141.41
  5. Step 5: Solve for x
    x = 14,395,922,141.41/138,812.70
  6. Step 6: Final answer
    x = 103,707.53

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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.