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Finding the Fourth Proportional to 145,884.43, 201,320.31 and 78,816.43

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Solution

The fourth proportional to 145,884.43, 201,320.31 and 78,816.43 is: 108,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884.43 : 201,320.31 = 78,816.43 : x
  2. Step 2: Convert to fraction form
    145,884.43/201,320.31 = 78,816.43/x
  3. Step 3: Cross multiply
    145,884.43x = 201,320.31 × 78,816.43
  4. Step 4: Simplify right side
    145,884.43x = 15,867,348,120.69
  5. Step 5: Solve for x
    x = 15,867,348,120.69/145,884.43
  6. Step 6: Final answer
    x = 108,766.56

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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.