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Finding the Fourth Proportional to 170,928.40, 256,392.60 and 82,354.90

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Solution

The fourth proportional to 170,928.40, 256,392.60 and 82,354.90 is: 123,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,928.40 : 256,392.60 = 82,354.90 : x
  2. Step 2: Convert to fraction form
    170,928.40/256,392.60 = 82,354.90/x
  3. Step 3: Cross multiply
    170,928.40x = 256,392.60 × 82,354.90
  4. Step 4: Simplify right side
    170,928.40x = 21,115,186,933.74
  5. Step 5: Solve for x
    x = 21,115,186,933.74/170,928.40
  6. Step 6: Final answer
    x = 123,532.35

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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.