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Finding the Fourth Proportional to 66,606.36, 99,860.34 and 31,505

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Solution

The fourth proportional to 66,606.36, 99,860.34 and 31,505 is: 47,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,606.36 : 99,860.34 = 31,505 : x
  2. Step 2: Convert to fraction form
    66,606.36/99,860.34 = 31,505/x
  3. Step 3: Cross multiply
    66,606.36x = 99,860.34 × 31,505
  4. Step 4: Simplify right side
    66,606.36x = 3,146,100,011.70
  5. Step 5: Solve for x
    x = 3,146,100,011.70/66,606.36
  6. Step 6: Final answer
    x = 47,234.23

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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.