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Finding the Fourth Proportional to 219,351.30, 302,705.76 and 118,749.30

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Solution

The fourth proportional to 219,351.30, 302,705.76 and 118,749.30 is: 163,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,351.30 : 302,705.76 = 118,749.30 : x
  2. Step 2: Convert to fraction form
    219,351.30/302,705.76 = 118,749.30/x
  3. Step 3: Cross multiply
    219,351.30x = 302,705.76 × 118,749.30
  4. Step 4: Simplify right side
    219,351.30x = 35,946,097,105.97
  5. Step 5: Solve for x
    x = 35,946,097,105.97/219,351.30
  6. Step 6: Final answer
    x = 163,874.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.