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Finding the Fourth Proportional to 129,762.90, 194,644.35 and 74,313.30

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Solution

The fourth proportional to 129,762.90, 194,644.35 and 74,313.30 is: 111,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762.90 : 194,644.35 = 74,313.30 : x
  2. Step 2: Convert to fraction form
    129,762.90/194,644.35 = 74,313.30/x
  3. Step 3: Cross multiply
    129,762.90x = 194,644.35 × 74,313.30
  4. Step 4: Simplify right side
    129,762.90x = 14,464,663,974.86
  5. Step 5: Solve for x
    x = 14,464,663,974.86/129,762.90
  6. Step 6: Final answer
    x = 111,469.95

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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.