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Finding the Fourth Proportional to 65,531.84, 90,436.11 and 36,856.49

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Solution

The fourth proportional to 65,531.84, 90,436.11 and 36,856.49 is: 50,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531.84 : 90,436.11 = 36,856.49 : x
  2. Step 2: Convert to fraction form
    65,531.84/90,436.11 = 36,856.49/x
  3. Step 3: Cross multiply
    65,531.84x = 90,436.11 × 36,856.49
  4. Step 4: Simplify right side
    65,531.84x = 3,333,157,583.85
  5. Step 5: Solve for x
    x = 3,333,157,583.85/65,531.84
  6. Step 6: Final answer
    x = 50,863.18

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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.