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Finding the Fourth Proportional to 66,929, 100,393.50 and 23,153

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Solution

The fourth proportional to 66,929, 100,393.50 and 23,153 is: 34,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,929 : 100,393.50 = 23,153 : x
  2. Step 2: Convert to fraction form
    66,929/100,393.50 = 23,153/x
  3. Step 3: Cross multiply
    66,929x = 100,393.50 × 23,153
  4. Step 4: Simplify right side
    66,929x = 2,324,410,705.50
  5. Step 5: Solve for x
    x = 2,324,410,705.50/66,929
  6. Step 6: Final answer
    x = 34,729.50

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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.