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Finding the Fourth Proportional to 171,425.88, 257,384.25 and 104,997.78

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Solution

The fourth proportional to 171,425.88, 257,384.25 and 104,997.78 is: 157,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,425.88 : 257,384.25 = 104,997.78 : x
  2. Step 2: Convert to fraction form
    171,425.88/257,384.25 = 104,997.78/x
  3. Step 3: Cross multiply
    171,425.88x = 257,384.25 × 104,997.78
  4. Step 4: Simplify right side
    171,425.88x = 27,024,774,856.97
  5. Step 5: Solve for x
    x = 27,024,774,856.97/171,425.88
  6. Step 6: Final answer
    x = 157,647.00

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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.