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Finding the Fourth Proportional to 201,842.60, 302,936.70 and 89,695.40

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Solution

The fourth proportional to 201,842.60, 302,936.70 and 89,695.40 is: 134,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.60 : 302,936.70 = 89,695.40 : x
  2. Step 2: Convert to fraction form
    201,842.60/302,936.70 = 89,695.40/x
  3. Step 3: Cross multiply
    201,842.60x = 302,936.70 × 89,695.40
  4. Step 4: Simplify right side
    201,842.60x = 27,172,028,481.18
  5. Step 5: Solve for x
    x = 27,172,028,481.18/201,842.60
  6. Step 6: Final answer
    x = 134,619.89

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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.