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Finding the Fourth Proportional to 174,311.20, 261,639.60 and 85,664.80

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Solution

The fourth proportional to 174,311.20, 261,639.60 and 85,664.80 is: 128,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,311.20 : 261,639.60 = 85,664.80 : x
  2. Step 2: Convert to fraction form
    174,311.20/261,639.60 = 85,664.80/x
  3. Step 3: Cross multiply
    174,311.20x = 261,639.60 × 85,664.80
  4. Step 4: Simplify right side
    174,311.20x = 22,413,304,006.08
  5. Step 5: Solve for x
    x = 22,413,304,006.08/174,311.20
  6. Step 6: Final answer
    x = 128,582.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.