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Finding the Fourth Proportional to 166,449, 229,700.44 and 90,997.50

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Solution

The fourth proportional to 166,449, 229,700.44 and 90,997.50 is: 125,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,449 : 229,700.44 = 90,997.50 : x
  2. Step 2: Convert to fraction form
    166,449/229,700.44 = 90,997.50/x
  3. Step 3: Cross multiply
    166,449x = 229,700.44 × 90,997.50
  4. Step 4: Simplify right side
    166,449x = 20,902,165,788.90
  5. Step 5: Solve for x
    x = 20,902,165,788.90/166,449
  6. Step 6: Final answer
    x = 125,577.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.