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Finding the Fourth Proportional to 129,771.40, 194,657.10 and 46,654.60

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Solution

The fourth proportional to 129,771.40, 194,657.10 and 46,654.60 is: 69,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,771.40 : 194,657.10 = 46,654.60 : x
  2. Step 2: Convert to fraction form
    129,771.40/194,657.10 = 46,654.60/x
  3. Step 3: Cross multiply
    129,771.40x = 194,657.10 × 46,654.60
  4. Step 4: Simplify right side
    129,771.40x = 9,081,649,137.66
  5. Step 5: Solve for x
    x = 9,081,649,137.66/129,771.40
  6. Step 6: Final answer
    x = 69,981.90

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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.