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Finding the Fourth Proportional to 65,908, 90,953.36 and 36,100

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Solution

The fourth proportional to 65,908, 90,953.36 and 36,100 is: 49,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908 : 90,953.36 = 36,100 : x
  2. Step 2: Convert to fraction form
    65,908/90,953.36 = 36,100/x
  3. Step 3: Cross multiply
    65,908x = 90,953.36 × 36,100
  4. Step 4: Simplify right side
    65,908x = 3,283,416,296
  5. Step 5: Solve for x
    x = 3,283,416,296/65,908
  6. Step 6: Final answer
    x = 49,818.18

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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.