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Finding the Fourth Proportional to 170,698.96, 256,179.12 and 77,270.32

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Solution

The fourth proportional to 170,698.96, 256,179.12 and 77,270.32 is: 115,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,698.96 : 256,179.12 = 77,270.32 : x
  2. Step 2: Convert to fraction form
    170,698.96/256,179.12 = 77,270.32/x
  3. Step 3: Cross multiply
    170,698.96x = 256,179.12 × 77,270.32
  4. Step 4: Simplify right side
    170,698.96x = 19,795,042,579.72
  5. Step 5: Solve for x
    x = 19,795,042,579.72/170,698.96
  6. Step 6: Final answer
    x = 115,964.63

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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.