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Finding the Fourth Proportional to 215,508.31, 323,313.01 and 65,748.54

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Solution

The fourth proportional to 215,508.31, 323,313.01 and 65,748.54 is: 98,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,508.31 : 323,313.01 = 65,748.54 : x
  2. Step 2: Convert to fraction form
    215,508.31/323,313.01 = 65,748.54/x
  3. Step 3: Cross multiply
    215,508.31x = 323,313.01 × 65,748.54
  4. Step 4: Simplify right side
    215,508.31x = 21,257,358,370.51
  5. Step 5: Solve for x
    x = 21,257,358,370.51/215,508.31
  6. Step 6: Final answer
    x = 98,638.23

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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.