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Finding the Fourth Proportional to 171,829.80, 257,744.70 and 161,988.30

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Solution

The fourth proportional to 171,829.80, 257,744.70 and 161,988.30 is: 242,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,829.80 : 257,744.70 = 161,988.30 : x
  2. Step 2: Convert to fraction form
    171,829.80/257,744.70 = 161,988.30/x
  3. Step 3: Cross multiply
    171,829.80x = 257,744.70 × 161,988.30
  4. Step 4: Simplify right side
    171,829.80x = 41,751,625,787.01
  5. Step 5: Solve for x
    x = 41,751,625,787.01/171,829.80
  6. Step 6: Final answer
    x = 242,982.45

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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.