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Finding the Fourth Proportional to 66,408.64, 91,642.72 and 36,194.16

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Solution

The fourth proportional to 66,408.64, 91,642.72 and 36,194.16 is: 49,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,408.64 : 91,642.72 = 36,194.16 : x
  2. Step 2: Convert to fraction form
    66,408.64/91,642.72 = 36,194.16/x
  3. Step 3: Cross multiply
    66,408.64x = 91,642.72 × 36,194.16
  4. Step 4: Simplify right side
    66,408.64x = 3,316,931,270.52
  5. Step 5: Solve for x
    x = 3,316,931,270.52/66,408.64
  6. Step 6: Final answer
    x = 49,947.29

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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.