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Finding the Fourth Proportional to 45,698.84, 63,080.26 and 31,406

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Solution

The fourth proportional to 45,698.84, 63,080.26 and 31,406 is: 43,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698.84 : 63,080.26 = 31,406 : x
  2. Step 2: Convert to fraction form
    45,698.84/63,080.26 = 31,406/x
  3. Step 3: Cross multiply
    45,698.84x = 63,080.26 × 31,406
  4. Step 4: Simplify right side
    45,698.84x = 1,981,098,645.56
  5. Step 5: Solve for x
    x = 1,981,098,645.56/45,698.84
  6. Step 6: Final answer
    x = 43,351.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.