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Finding the Fourth Proportional to 171,704.61, 257,540.51 and 105,110.46

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Solution

The fourth proportional to 171,704.61, 257,540.51 and 105,110.46 is: 157,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,704.61 : 257,540.51 = 105,110.46 : x
  2. Step 2: Convert to fraction form
    171,704.61/257,540.51 = 105,110.46/x
  3. Step 3: Cross multiply
    171,704.61x = 257,540.51 × 105,110.46
  4. Step 4: Simplify right side
    171,704.61x = 27,070,201,737.51
  5. Step 5: Solve for x
    x = 27,070,201,737.51/171,704.61
  6. Step 6: Final answer
    x = 157,655.65

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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.