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Finding the Fourth Proportional to 171,085.80, 256,142.70 and 161,776.20

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Solution

The fourth proportional to 171,085.80, 256,142.70 and 161,776.20 is: 242,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,085.80 : 256,142.70 = 161,776.20 : x
  2. Step 2: Convert to fraction form
    171,085.80/256,142.70 = 161,776.20/x
  3. Step 3: Cross multiply
    171,085.80x = 256,142.70 × 161,776.20
  4. Step 4: Simplify right side
    171,085.80x = 41,437,792,663.74
  5. Step 5: Solve for x
    x = 41,437,792,663.74/171,085.80
  6. Step 6: Final answer
    x = 242,204.75

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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.