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Finding the Fourth Proportional to 215,120.48, 322,680.37 and 102,459

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Solution

The fourth proportional to 215,120.48, 322,680.37 and 102,459 is: 153,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,120.48 : 322,680.37 = 102,459 : x
  2. Step 2: Convert to fraction form
    215,120.48/322,680.37 = 102,459/x
  3. Step 3: Cross multiply
    215,120.48x = 322,680.37 × 102,459
  4. Step 4: Simplify right side
    215,120.48x = 33,061,508,029.83
  5. Step 5: Solve for x
    x = 33,061,508,029.83/215,120.48
  6. Step 6: Final answer
    x = 153,688.33

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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.