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Finding the Fourth Proportional to 66,097, 91,213.14 and 35,883.40

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Solution

The fourth proportional to 66,097, 91,213.14 and 35,883.40 is: 49,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,097 : 91,213.14 = 35,883.40 : x
  2. Step 2: Convert to fraction form
    66,097/91,213.14 = 35,883.40/x
  3. Step 3: Cross multiply
    66,097x = 91,213.14 × 35,883.40
  4. Step 4: Simplify right side
    66,097x = 3,273,037,587.88
  5. Step 5: Solve for x
    x = 3,273,037,587.88/66,097
  6. Step 6: Final answer
    x = 49,518.70

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1.5x scale

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.