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Finding the Fourth Proportional to 201,102.40, 301,216.20 and 161,736.40

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Solution

The fourth proportional to 201,102.40, 301,216.20 and 161,736.40 is: 242,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.40 : 301,216.20 = 161,736.40 : x
  2. Step 2: Convert to fraction form
    201,102.40/301,216.20 = 161,736.40/x
  3. Step 3: Cross multiply
    201,102.40x = 301,216.20 × 161,736.40
  4. Step 4: Simplify right side
    201,102.40x = 48,717,623,809.68
  5. Step 5: Solve for x
    x = 48,717,623,809.68/201,102.40
  6. Step 6: Final answer
    x = 242,252.82

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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.