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Finding the Fourth Proportional to 138,842.64, 191,601.36 and 75,179.52

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Solution

The fourth proportional to 138,842.64, 191,601.36 and 75,179.52 is: 103,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,842.64 : 191,601.36 = 75,179.52 : x
  2. Step 2: Convert to fraction form
    138,842.64/191,601.36 = 75,179.52/x
  3. Step 3: Cross multiply
    138,842.64x = 191,601.36 × 75,179.52
  4. Step 4: Simplify right side
    138,842.64x = 14,404,498,276.15
  5. Step 5: Solve for x
    x = 14,404,498,276.15/138,842.64
  6. Step 6: Final answer
    x = 103,746.93

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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.