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Finding the Fourth Proportional to 171,451.60, 257,323.20 and 76,827.40

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Solution

The fourth proportional to 171,451.60, 257,323.20 and 76,827.40 is: 115,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.60 : 257,323.20 = 76,827.40 : x
  2. Step 2: Convert to fraction form
    171,451.60/257,323.20 = 76,827.40/x
  3. Step 3: Cross multiply
    171,451.60x = 257,323.20 × 76,827.40
  4. Step 4: Simplify right side
    171,451.60x = 19,769,472,415.68
  5. Step 5: Solve for x
    x = 19,769,472,415.68/171,451.60
  6. Step 6: Final answer
    x = 115,306.43

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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.