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Finding the Fourth Proportional to 138,573.53, 191,231.75 and 74,911.32

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Solution

The fourth proportional to 138,573.53, 191,231.75 and 74,911.32 is: 103,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,573.53 : 191,231.75 = 74,911.32 : x
  2. Step 2: Convert to fraction form
    138,573.53/191,231.75 = 74,911.32/x
  3. Step 3: Cross multiply
    138,573.53x = 191,231.75 × 74,911.32
  4. Step 4: Simplify right side
    138,573.53x = 14,325,422,443.85
  5. Step 5: Solve for x
    x = 14,325,422,443.85/138,573.53
  6. Step 6: Final answer
    x = 103,377.77

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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.