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Finding the Fourth Proportional to 201,215.71, 301,832.79 and 142,314.33

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Solution

The fourth proportional to 201,215.71, 301,832.79 and 142,314.33 is: 213,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215.71 : 301,832.79 = 142,314.33 : x
  2. Step 2: Convert to fraction form
    201,215.71/301,832.79 = 142,314.33/x
  3. Step 3: Cross multiply
    201,215.71x = 301,832.79 × 142,314.33
  4. Step 4: Simplify right side
    201,215.71x = 42,955,131,280.88
  5. Step 5: Solve for x
    x = 42,955,131,280.88/201,215.71
  6. Step 6: Final answer
    x = 213,478.02

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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.