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Finding the Fourth Proportional to 65,129.97, 89,880.12 and 36,451.38

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Solution

The fourth proportional to 65,129.97, 89,880.12 and 36,451.38 is: 50,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.97 : 89,880.12 = 36,451.38 : x
  2. Step 2: Convert to fraction form
    65,129.97/89,880.12 = 36,451.38/x
  3. Step 3: Cross multiply
    65,129.97x = 89,880.12 × 36,451.38
  4. Step 4: Simplify right side
    65,129.97x = 3,276,254,408.57
  5. Step 5: Solve for x
    x = 3,276,254,408.57/65,129.97
  6. Step 6: Final answer
    x = 50,303.33

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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.