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Finding the Fourth Proportional to 138,765.99, 191,496.74 and 75,103.83

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Solution

The fourth proportional to 138,765.99, 191,496.74 and 75,103.83 is: 103,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765.99 : 191,496.74 = 75,103.83 : x
  2. Step 2: Convert to fraction form
    138,765.99/191,496.74 = 75,103.83/x
  3. Step 3: Cross multiply
    138,765.99x = 191,496.74 × 75,103.83
  4. Step 4: Simplify right side
    138,765.99x = 14,382,138,231.00
  5. Step 5: Solve for x
    x = 14,382,138,231.00/138,765.99
  6. Step 6: Final answer
    x = 103,643.11

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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.