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Finding the Fourth Proportional to 138,974.64, 191,784.52 and 75,314

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Solution

The fourth proportional to 138,974.64, 191,784.52 and 75,314 is: 103,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,974.64 : 191,784.52 = 75,314 : x
  2. Step 2: Convert to fraction form
    138,974.64/191,784.52 = 75,314/x
  3. Step 3: Cross multiply
    138,974.64x = 191,784.52 × 75,314
  4. Step 4: Simplify right side
    138,974.64x = 14,444,059,339.28
  5. Step 5: Solve for x
    x = 14,444,059,339.28/138,974.64
  6. Step 6: Final answer
    x = 103,933.06

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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.