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Finding the Fourth Proportional to 171,505.65, 257,258.60 and 71,611.41

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Solution

The fourth proportional to 171,505.65, 257,258.60 and 71,611.41 is: 107,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,505.65 : 257,258.60 = 71,611.41 : x
  2. Step 2: Convert to fraction form
    171,505.65/257,258.60 = 71,611.41/x
  3. Step 3: Cross multiply
    171,505.65x = 257,258.60 × 71,611.41
  4. Step 4: Simplify right side
    171,505.65x = 18,422,650,722.57
  5. Step 5: Solve for x
    x = 18,422,650,722.57/171,505.65
  6. Step 6: Final answer
    x = 107,417.17

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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.