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Finding the Fourth Proportional to 65,909.21, 90,954.25 and 35,693.84

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Solution

The fourth proportional to 65,909.21, 90,954.25 and 35,693.84 is: 49,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.21 : 90,954.25 = 35,693.84 : x
  2. Step 2: Convert to fraction form
    65,909.21/90,954.25 = 35,693.84/x
  3. Step 3: Cross multiply
    65,909.21x = 90,954.25 × 35,693.84
  4. Step 4: Simplify right side
    65,909.21x = 3,246,506,130.20
  5. Step 5: Solve for x
    x = 3,246,506,130.20/65,909.21
  6. Step 6: Final answer
    x = 49,257.25

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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.