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Finding the Fourth Proportional to 171,064.80, 256,111.20 and 161,755.20

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Solution

The fourth proportional to 171,064.80, 256,111.20 and 161,755.20 is: 242,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064.80 : 256,111.20 = 161,755.20 : x
  2. Step 2: Convert to fraction form
    171,064.80/256,111.20 = 161,755.20/x
  3. Step 3: Cross multiply
    171,064.80x = 256,111.20 × 161,755.20
  4. Step 4: Simplify right side
    171,064.80x = 41,427,318,378.24
  5. Step 5: Solve for x
    x = 41,427,318,378.24/171,064.80
  6. Step 6: Final answer
    x = 242,173.25

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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.