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Finding the Fourth Proportional to 171,904.44, 257,706.90 and 138,565.56

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Solution

The fourth proportional to 171,904.44, 257,706.90 and 138,565.56 is: 207,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,904.44 : 257,706.90 = 138,565.56 : x
  2. Step 2: Convert to fraction form
    171,904.44/257,706.90 = 138,565.56/x
  3. Step 3: Cross multiply
    171,904.44x = 257,706.90 × 138,565.56
  4. Step 4: Simplify right side
    171,904.44x = 35,709,300,914.36
  5. Step 5: Solve for x
    x = 35,709,300,914.36/171,904.44
  6. Step 6: Final answer
    x = 207,727.62

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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.