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Finding the Fourth Proportional to 129,881.90, 194,821.50 and 41,135.40

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Solution

The fourth proportional to 129,881.90, 194,821.50 and 41,135.40 is: 61,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,881.90 : 194,821.50 = 41,135.40 : x
  2. Step 2: Convert to fraction form
    129,881.90/194,821.50 = 41,135.40/x
  3. Step 3: Cross multiply
    129,881.90x = 194,821.50 × 41,135.40
  4. Step 4: Simplify right side
    129,881.90x = 8,014,060,331.10
  5. Step 5: Solve for x
    x = 8,014,060,331.10/129,881.90
  6. Step 6: Final answer
    x = 61,702.67

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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.