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Finding the Fourth Proportional to 65,885.21, 90,919.92 and 36,813.82

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Solution

The fourth proportional to 65,885.21, 90,919.92 and 36,813.82 is: 50,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885.21 : 90,919.92 = 36,813.82 : x
  2. Step 2: Convert to fraction form
    65,885.21/90,919.92 = 36,813.82/x
  3. Step 3: Cross multiply
    65,885.21x = 90,919.92 × 36,813.82
  4. Step 4: Simplify right side
    65,885.21x = 3,347,109,569.29
  5. Step 5: Solve for x
    x = 3,347,109,569.29/65,885.21
  6. Step 6: Final answer
    x = 50,802.14

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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.