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Finding the Fourth Proportional to 145,469.52, 200,730.31 and 80,923.50

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Solution

The fourth proportional to 145,469.52, 200,730.31 and 80,923.50 is: 111,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,469.52 : 200,730.31 = 80,923.50 : x
  2. Step 2: Convert to fraction form
    145,469.52/200,730.31 = 80,923.50/x
  3. Step 3: Cross multiply
    145,469.52x = 200,730.31 × 80,923.50
  4. Step 4: Simplify right side
    145,469.52x = 16,243,799,241.29
  5. Step 5: Solve for x
    x = 16,243,799,241.29/145,469.52
  6. Step 6: Final answer
    x = 111,664.62

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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.