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Finding the Fourth Proportional to 171,908.30, 257,971.80 and 100,830.80

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Solution

The fourth proportional to 171,908.30, 257,971.80 and 100,830.80 is: 151,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,908.30 : 257,971.80 = 100,830.80 : x
  2. Step 2: Convert to fraction form
    171,908.30/257,971.80 = 100,830.80/x
  3. Step 3: Cross multiply
    171,908.30x = 257,971.80 × 100,830.80
  4. Step 4: Simplify right side
    171,908.30x = 26,011,502,971.44
  5. Step 5: Solve for x
    x = 26,011,502,971.44/171,908.30
  6. Step 6: Final answer
    x = 151,310.34

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1.5x scale

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.