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Finding the Fourth Proportional to 145,606.54, 200,903.79 and 81,921.10

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Solution

The fourth proportional to 145,606.54, 200,903.79 and 81,921.10 is: 113,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,606.54 : 200,903.79 = 81,921.10 : x
  2. Step 2: Convert to fraction form
    145,606.54/200,903.79 = 81,921.10/x
  3. Step 3: Cross multiply
    145,606.54x = 200,903.79 × 81,921.10
  4. Step 4: Simplify right side
    145,606.54x = 16,458,259,470.97
  5. Step 5: Solve for x
    x = 16,458,259,470.97/145,606.54
  6. Step 6: Final answer
    x = 113,032.42

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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.