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Finding the Fourth Proportional to 138,930.34, 191,724.16 and 75,268.13

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Solution

The fourth proportional to 138,930.34, 191,724.16 and 75,268.13 is: 103,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930.34 : 191,724.16 = 75,268.13 : x
  2. Step 2: Convert to fraction form
    138,930.34/191,724.16 = 75,268.13/x
  3. Step 3: Cross multiply
    138,930.34x = 191,724.16 × 75,268.13
  4. Step 4: Simplify right side
    138,930.34x = 14,430,719,101.99
  5. Step 5: Solve for x
    x = 14,430,719,101.99/138,930.34
  6. Step 6: Final answer
    x = 103,870.18

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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.