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Finding the Fourth Proportional to 65,749.92, 90,733.20 and 35,940

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Solution

The fourth proportional to 65,749.92, 90,733.20 and 35,940 is: 49,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749.92 : 90,733.20 = 35,940 : x
  2. Step 2: Convert to fraction form
    65,749.92/90,733.20 = 35,940/x
  3. Step 3: Cross multiply
    65,749.92x = 90,733.20 × 35,940
  4. Step 4: Simplify right side
    65,749.92x = 3,260,951,208
  5. Step 5: Solve for x
    x = 3,260,951,208/65,749.92
  6. Step 6: Final answer
    x = 49,596.28

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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.