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Finding the Fourth Proportional to 201,632.85, 302,546.48 and 142,340.85

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Solution

The fourth proportional to 201,632.85, 302,546.48 and 142,340.85 is: 213,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.85 : 302,546.48 = 142,340.85 : x
  2. Step 2: Convert to fraction form
    201,632.85/302,546.48 = 142,340.85/x
  3. Step 3: Cross multiply
    201,632.85x = 302,546.48 × 142,340.85
  4. Step 4: Simplify right side
    201,632.85x = 43,064,722,416.00
  5. Step 5: Solve for x
    x = 43,064,722,416.00/201,632.85
  6. Step 6: Final answer
    x = 213,579.89

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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.