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Finding the Fourth Proportional to 345,782.88, 518,655.96 and 105,896.70

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Solution

The fourth proportional to 345,782.88, 518,655.96 and 105,896.70 is: 158,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,782.88 : 518,655.96 = 105,896.70 : x
  2. Step 2: Convert to fraction form
    345,782.88/518,655.96 = 105,896.70/x
  3. Step 3: Cross multiply
    345,782.88x = 518,655.96 × 105,896.70
  4. Step 4: Simplify right side
    345,782.88x = 54,923,954,599.33
  5. Step 5: Solve for x
    x = 54,923,954,599.33/345,782.88
  6. Step 6: Final answer
    x = 158,839.43

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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.