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Finding the Fourth Proportional to 138,989.23, 191,805.81 and 75,327.01

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Solution

The fourth proportional to 138,989.23, 191,805.81 and 75,327.01 is: 103,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,989.23 : 191,805.81 = 75,327.01 : x
  2. Step 2: Convert to fraction form
    138,989.23/191,805.81 = 75,327.01/x
  3. Step 3: Cross multiply
    138,989.23x = 191,805.81 × 75,327.01
  4. Step 4: Simplify right side
    138,989.23x = 14,448,158,167.93
  5. Step 5: Solve for x
    x = 14,448,158,167.93/138,989.23
  6. Step 6: Final answer
    x = 103,951.64

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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.