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Finding the Fourth Proportional to 65,909.89, 90,955.12 and 35,695.12

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Solution

The fourth proportional to 65,909.89, 90,955.12 and 35,695.12 is: 49,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.89 : 90,955.12 = 35,695.12 : x
  2. Step 2: Convert to fraction form
    65,909.89/90,955.12 = 35,695.12/x
  3. Step 3: Cross multiply
    65,909.89x = 90,955.12 × 35,695.12
  4. Step 4: Simplify right side
    65,909.89x = 3,246,653,923.01
  5. Step 5: Solve for x
    x = 3,246,653,923.01/65,909.89
  6. Step 6: Final answer
    x = 49,258.98

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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.