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Finding the Fourth Proportional to 201,112.40, 301,231.20 and 161,746.40

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Solution

The fourth proportional to 201,112.40, 301,231.20 and 161,746.40 is: 242,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.40 : 301,231.20 = 161,746.40 : x
  2. Step 2: Convert to fraction form
    201,112.40/301,231.20 = 161,746.40/x
  3. Step 3: Cross multiply
    201,112.40x = 301,231.20 × 161,746.40
  4. Step 4: Simplify right side
    201,112.40x = 48,723,062,167.68
  5. Step 5: Solve for x
    x = 48,723,062,167.68/201,112.40
  6. Step 6: Final answer
    x = 242,267.82

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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.