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Finding the Fourth Proportional to 66,532, 91,814.16 and 36,724

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Solution

The fourth proportional to 66,532, 91,814.16 and 36,724 is: 50,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,532 : 91,814.16 = 36,724 : x
  2. Step 2: Convert to fraction form
    66,532/91,814.16 = 36,724/x
  3. Step 3: Cross multiply
    66,532x = 91,814.16 × 36,724
  4. Step 4: Simplify right side
    66,532x = 3,371,783,211.84
  5. Step 5: Solve for x
    x = 3,371,783,211.84/66,532
  6. Step 6: Final answer
    x = 50,679.12

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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.