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Finding the Fourth Proportional to 138,716.64, 191,428.44 and 75,054.48

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Solution

The fourth proportional to 138,716.64, 191,428.44 and 75,054.48 is: 103,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,716.64 : 191,428.44 = 75,054.48 : x
  2. Step 2: Convert to fraction form
    138,716.64/191,428.44 = 75,054.48/x
  3. Step 3: Cross multiply
    138,716.64x = 191,428.44 × 75,054.48
  4. Step 4: Simplify right side
    138,716.64x = 14,367,562,021.41
  5. Step 5: Solve for x
    x = 14,367,562,021.41/138,716.64
  6. Step 6: Final answer
    x = 103,574.90

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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.