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Finding the Fourth Proportional to 47,492, 71,238.12 and 19,790

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Solution

The fourth proportional to 47,492, 71,238.12 and 19,790 is: 29,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492 : 71,238.12 = 19,790 : x
  2. Step 2: Convert to fraction form
    47,492/71,238.12 = 19,790/x
  3. Step 3: Cross multiply
    47,492x = 71,238.12 × 19,790
  4. Step 4: Simplify right side
    47,492x = 1,409,802,394.80
  5. Step 5: Solve for x
    x = 1,409,802,394.80/47,492
  6. Step 6: Final answer
    x = 29,685.05

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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.