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Finding the Fourth Proportional to 66,507.76, 99,708.78 and 38,396.02

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Solution

The fourth proportional to 66,507.76, 99,708.78 and 38,396.02 is: 57,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507.76 : 99,708.78 = 38,396.02 : x
  2. Step 2: Convert to fraction form
    66,507.76/99,708.78 = 38,396.02/x
  3. Step 3: Cross multiply
    66,507.76x = 99,708.78 × 38,396.02
  4. Step 4: Simplify right side
    66,507.76x = 3,828,420,311.06
  5. Step 5: Solve for x
    x = 3,828,420,311.06/66,507.76
  6. Step 6: Final answer
    x = 57,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.