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Finding the Fourth Proportional to 138,900.39, 191,682.36 and 75,238.44

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Solution

The fourth proportional to 138,900.39, 191,682.36 and 75,238.44 is: 103,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.39 : 191,682.36 = 75,238.44 : x
  2. Step 2: Convert to fraction form
    138,900.39/191,682.36 = 75,238.44/x
  3. Step 3: Cross multiply
    138,900.39x = 191,682.36 × 75,238.44
  4. Step 4: Simplify right side
    138,900.39x = 14,421,881,741.92
  5. Step 5: Solve for x
    x = 14,421,881,741.92/138,900.39
  6. Step 6: Final answer
    x = 103,828.95

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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.