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Finding the Fourth Proportional to 129,649.25, 194,473.88 and 31,153.25

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Solution

The fourth proportional to 129,649.25, 194,473.88 and 31,153.25 is: 46,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,649.25 : 194,473.88 = 31,153.25 : x
  2. Step 2: Convert to fraction form
    129,649.25/194,473.88 = 31,153.25/x
  3. Step 3: Cross multiply
    129,649.25x = 194,473.88 × 31,153.25
  4. Step 4: Simplify right side
    129,649.25x = 6,058,493,402.11
  5. Step 5: Solve for x
    x = 6,058,493,402.11/129,649.25
  6. Step 6: Final answer
    x = 46,729.88

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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.