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Finding the Fourth Proportional to 219,542.63, 302,969.32 and 122,749.94

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Solution

The fourth proportional to 219,542.63, 302,969.32 and 122,749.94 is: 169,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,542.63 : 302,969.32 = 122,749.94 : x
  2. Step 2: Convert to fraction form
    219,542.63/302,969.32 = 122,749.94/x
  3. Step 3: Cross multiply
    219,542.63x = 302,969.32 × 122,749.94
  4. Step 4: Simplify right side
    219,542.63x = 37,189,466,302.39
  5. Step 5: Solve for x
    x = 37,189,466,302.39/219,542.63
  6. Step 6: Final answer
    x = 169,395.20

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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.