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Finding the Fourth Proportional to 171,830.30, 257,854.80 and 100,752.80

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Solution

The fourth proportional to 171,830.30, 257,854.80 and 100,752.80 is: 151,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.30 : 257,854.80 = 100,752.80 : x
  2. Step 2: Convert to fraction form
    171,830.30/257,854.80 = 100,752.80/x
  3. Step 3: Cross multiply
    171,830.30x = 257,854.80 × 100,752.80
  4. Step 4: Simplify right side
    171,830.30x = 25,979,593,093.44
  5. Step 5: Solve for x
    x = 25,979,593,093.44/171,830.30
  6. Step 6: Final answer
    x = 151,193.32

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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.