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Finding the Fourth Proportional to 65,695.76, 90,660.14 and 35,481.08

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Solution

The fourth proportional to 65,695.76, 90,660.14 and 35,481.08 is: 48,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.76 : 90,660.14 = 35,481.08 : x
  2. Step 2: Convert to fraction form
    65,695.76/90,660.14 = 35,481.08/x
  3. Step 3: Cross multiply
    65,695.76x = 90,660.14 × 35,481.08
  4. Step 4: Simplify right side
    65,695.76x = 3,216,719,729.40
  5. Step 5: Solve for x
    x = 3,216,719,729.40/65,695.76
  6. Step 6: Final answer
    x = 48,963.89

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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.