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Finding the Fourth Proportional to 138,446.25, 191,055.90 and 74,784.05

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Solution

The fourth proportional to 138,446.25, 191,055.90 and 74,784.05 is: 103,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,446.25 : 191,055.90 = 74,784.05 : x
  2. Step 2: Convert to fraction form
    138,446.25/191,055.90 = 74,784.05/x
  3. Step 3: Cross multiply
    138,446.25x = 191,055.90 × 74,784.05
  4. Step 4: Simplify right side
    138,446.25x = 14,287,933,023.12
  5. Step 5: Solve for x
    x = 14,287,933,023.12/138,446.25
  6. Step 6: Final answer
    x = 103,202.02

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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.