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Finding the Fourth Proportional to 129,640.92, 194,461.34 and 31,144.92

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Solution

The fourth proportional to 129,640.92, 194,461.34 and 31,144.92 is: 46,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640.92 : 194,461.34 = 31,144.92 : x
  2. Step 2: Convert to fraction form
    129,640.92/194,461.34 = 31,144.92/x
  3. Step 3: Cross multiply
    129,640.92x = 194,461.34 × 31,144.92
  4. Step 4: Simplify right side
    129,640.92x = 6,056,482,721.67
  5. Step 5: Solve for x
    x = 6,056,482,721.67/129,640.92
  6. Step 6: Final answer
    x = 46,717.37

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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.