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Finding the Fourth Proportional to 201,002.12, 301,457.13 and 119,972

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Solution

The fourth proportional to 201,002.12, 301,457.13 and 119,972 is: 179,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,002.12 : 301,457.13 = 119,972 : x
  2. Step 2: Convert to fraction form
    201,002.12/301,457.13 = 119,972/x
  3. Step 3: Cross multiply
    201,002.12x = 301,457.13 × 119,972
  4. Step 4: Simplify right side
    201,002.12x = 36,166,414,800.36
  5. Step 5: Solve for x
    x = 36,166,414,800.36/201,002.12
  6. Step 6: Final answer
    x = 179,930.51

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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.