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Finding the Fourth Proportional to 70,471, 105,706.50 and 21,223

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Solution

The fourth proportional to 70,471, 105,706.50 and 21,223 is: 31,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471 : 105,706.50 = 21,223 : x
  2. Step 2: Convert to fraction form
    70,471/105,706.50 = 21,223/x
  3. Step 3: Cross multiply
    70,471x = 105,706.50 × 21,223
  4. Step 4: Simplify right side
    70,471x = 2,243,409,049.50
  5. Step 5: Solve for x
    x = 2,243,409,049.50/70,471
  6. Step 6: Final answer
    x = 31,834.50

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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.