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Finding the Fourth Proportional to 129,941.94, 194,912.92 and 31,445.94

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Solution

The fourth proportional to 129,941.94, 194,912.92 and 31,445.94 is: 47,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,941.94 : 194,912.92 = 31,445.94 : x
  2. Step 2: Convert to fraction form
    129,941.94/194,912.92 = 31,445.94/x
  3. Step 3: Cross multiply
    129,941.94x = 194,912.92 × 31,445.94
  4. Step 4: Simplify right side
    129,941.94x = 6,129,219,987.54
  5. Step 5: Solve for x
    x = 6,129,219,987.54/129,941.94
  6. Step 6: Final answer
    x = 47,168.91

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1.5x scale

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.