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Finding the Fourth Proportional to 138,606.31, 191,276.78 and 74,944.05

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Solution

The fourth proportional to 138,606.31, 191,276.78 and 74,944.05 is: 103,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606.31 : 191,276.78 = 74,944.05 : x
  2. Step 2: Convert to fraction form
    138,606.31/191,276.78 = 74,944.05/x
  3. Step 3: Cross multiply
    138,606.31x = 191,276.78 × 74,944.05
  4. Step 4: Simplify right side
    138,606.31x = 14,335,056,564.16
  5. Step 5: Solve for x
    x = 14,335,056,564.16/138,606.31
  6. Step 6: Final answer
    x = 103,422.83

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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.