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Finding the Fourth Proportional to 66,950.34, 100,423.08 and 20,202

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Solution

The fourth proportional to 66,950.34, 100,423.08 and 20,202 is: 30,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,950.34 : 100,423.08 = 20,202 : x
  2. Step 2: Convert to fraction form
    66,950.34/100,423.08 = 20,202/x
  3. Step 3: Cross multiply
    66,950.34x = 100,423.08 × 20,202
  4. Step 4: Simplify right side
    66,950.34x = 2,028,747,062.16
  5. Step 5: Solve for x
    x = 2,028,747,062.16/66,950.34
  6. Step 6: Final answer
    x = 30,302.27

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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.