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Finding the Fourth Proportional to 66,165, 91,307.70 and 36,357

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Solution

The fourth proportional to 66,165, 91,307.70 and 36,357 is: 50,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,165 : 91,307.70 = 36,357 : x
  2. Step 2: Convert to fraction form
    66,165/91,307.70 = 36,357/x
  3. Step 3: Cross multiply
    66,165x = 91,307.70 × 36,357
  4. Step 4: Simplify right side
    66,165x = 3,319,674,048.90
  5. Step 5: Solve for x
    x = 3,319,674,048.90/66,165
  6. Step 6: Final answer
    x = 50,172.66

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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.