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Finding the Fourth Proportional to 201,929.90, 302,930.88 and 67,002.06

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Solution

The fourth proportional to 201,929.90, 302,930.88 and 67,002.06 is: 100,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,929.90 : 302,930.88 = 67,002.06 : x
  2. Step 2: Convert to fraction form
    201,929.90/302,930.88 = 67,002.06/x
  3. Step 3: Cross multiply
    201,929.90x = 302,930.88 × 67,002.06
  4. Step 4: Simplify right side
    201,929.90x = 20,296,992,997.61
  5. Step 5: Solve for x
    x = 20,296,992,997.61/201,929.90
  6. Step 6: Final answer
    x = 100,515.05

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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.