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Finding the Fourth Proportional to 201,018.46, 301,460.74 and 81,044.42

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Solution

The fourth proportional to 201,018.46, 301,460.74 and 81,044.42 is: 121,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,018.46 : 301,460.74 = 81,044.42 : x
  2. Step 2: Convert to fraction form
    201,018.46/301,460.74 = 81,044.42/x
  3. Step 3: Cross multiply
    201,018.46x = 301,460.74 × 81,044.42
  4. Step 4: Simplify right side
    201,018.46x = 24,431,709,116.16
  5. Step 5: Solve for x
    x = 24,431,709,116.16/201,018.46
  6. Step 6: Final answer
    x = 121,539.63

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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.