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Finding the Fourth Proportional to 171,830.80, 257,746.20 and 161,989.30

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Solution

The fourth proportional to 171,830.80, 257,746.20 and 161,989.30 is: 242,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.80 : 257,746.20 = 161,989.30 : x
  2. Step 2: Convert to fraction form
    171,830.80/257,746.20 = 161,989.30/x
  3. Step 3: Cross multiply
    171,830.80x = 257,746.20 × 161,989.30
  4. Step 4: Simplify right side
    171,830.80x = 41,752,126,515.66
  5. Step 5: Solve for x
    x = 41,752,126,515.66/171,830.80
  6. Step 6: Final answer
    x = 242,983.95

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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.