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Finding the Fourth Proportional to 65,181, 89,950.86 and 35,373

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Solution

The fourth proportional to 65,181, 89,950.86 and 35,373 is: 48,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,181 : 89,950.86 = 35,373 : x
  2. Step 2: Convert to fraction form
    65,181/89,950.86 = 35,373/x
  3. Step 3: Cross multiply
    65,181x = 89,950.86 × 35,373
  4. Step 4: Simplify right side
    65,181x = 3,181,831,770.78
  5. Step 5: Solve for x
    x = 3,181,831,770.78/65,181
  6. Step 6: Final answer
    x = 48,815.33

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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.