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Finding the Fourth Proportional to 66,085, 91,136.80 and 43,415

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Solution

The fourth proportional to 66,085, 91,136.80 and 43,415 is: 59,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085 : 91,136.80 = 43,415 : x
  2. Step 2: Convert to fraction form
    66,085/91,136.80 = 43,415/x
  3. Step 3: Cross multiply
    66,085x = 91,136.80 × 43,415
  4. Step 4: Simplify right side
    66,085x = 3,956,704,172
  5. Step 5: Solve for x
    x = 3,956,704,172/66,085
  6. Step 6: Final answer
    x = 59,872.95

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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.