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Finding the Fourth Proportional to 66,931, 100,396.50 and 23,155

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Solution

The fourth proportional to 66,931, 100,396.50 and 23,155 is: 34,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,931 : 100,396.50 = 23,155 : x
  2. Step 2: Convert to fraction form
    66,931/100,396.50 = 23,155/x
  3. Step 3: Cross multiply
    66,931x = 100,396.50 × 23,155
  4. Step 4: Simplify right side
    66,931x = 2,324,680,957.50
  5. Step 5: Solve for x
    x = 2,324,680,957.50/66,931
  6. Step 6: Final answer
    x = 34,732.50

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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.