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Finding the Fourth Proportional to 138,716.68, 191,429 and 75,054.48

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Solution

The fourth proportional to 138,716.68, 191,429 and 75,054.48 is: 103,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,716.68 : 191,429 = 75,054.48 : x
  2. Step 2: Convert to fraction form
    138,716.68/191,429 = 75,054.48/x
  3. Step 3: Cross multiply
    138,716.68x = 191,429 × 75,054.48
  4. Step 4: Simplify right side
    138,716.68x = 14,367,604,051.92
  5. Step 5: Solve for x
    x = 14,367,604,051.92/138,716.68
  6. Step 6: Final answer
    x = 103,575.17

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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.