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Finding the Fourth Proportional to 138,374.82, 207,641.16 and 54,141.84

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Solution

The fourth proportional to 138,374.82, 207,641.16 and 54,141.84 is: 81,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,374.82 : 207,641.16 = 54,141.84 : x
  2. Step 2: Convert to fraction form
    138,374.82/207,641.16 = 54,141.84/x
  3. Step 3: Cross multiply
    138,374.82x = 207,641.16 × 54,141.84
  4. Step 4: Simplify right side
    138,374.82x = 11,242,074,462.13
  5. Step 5: Solve for x
    x = 11,242,074,462.13/138,374.82
  6. Step 6: Final answer
    x = 81,243.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.