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Finding the Fourth Proportional to 149,046, 205,684.02 and 81,062.97

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Solution

The fourth proportional to 149,046, 205,684.02 and 81,062.97 is: 111,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046 : 205,684.02 = 81,062.97 : x
  2. Step 2: Convert to fraction form
    149,046/205,684.02 = 81,062.97/x
  3. Step 3: Cross multiply
    149,046x = 205,684.02 × 81,062.97
  4. Step 4: Simplify right side
    149,046x = 16,673,357,542.74
  5. Step 5: Solve for x
    x = 16,673,357,542.74/149,046
  6. Step 6: Final answer
    x = 111,867.19

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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.