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Finding the Fourth Proportional to 65,099, 89,836.62 and 35,291

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Solution

The fourth proportional to 65,099, 89,836.62 and 35,291 is: 48,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099 : 89,836.62 = 35,291 : x
  2. Step 2: Convert to fraction form
    65,099/89,836.62 = 35,291/x
  3. Step 3: Cross multiply
    65,099x = 89,836.62 × 35,291
  4. Step 4: Simplify right side
    65,099x = 3,170,424,156.42
  5. Step 5: Solve for x
    x = 3,170,424,156.42/65,099
  6. Step 6: Final answer
    x = 48,701.58

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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.