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Finding the Fourth Proportional to 66,105.64, 91,222.50 and 37,420.84

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Solution

The fourth proportional to 66,105.64, 91,222.50 and 37,420.84 is: 51,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105.64 : 91,222.50 = 37,420.84 : x
  2. Step 2: Convert to fraction form
    66,105.64/91,222.50 = 37,420.84/x
  3. Step 3: Cross multiply
    66,105.64x = 91,222.50 × 37,420.84
  4. Step 4: Simplify right side
    66,105.64x = 3,413,622,576.90
  5. Step 5: Solve for x
    x = 3,413,622,576.90/66,105.64
  6. Step 6: Final answer
    x = 51,638.90

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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.