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Finding the Fourth Proportional to 208,792.89, 313,087.28 and 145,643.27

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Solution

The fourth proportional to 208,792.89, 313,087.28 and 145,643.27 is: 218,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792.89 : 313,087.28 = 145,643.27 : x
  2. Step 2: Convert to fraction form
    208,792.89/313,087.28 = 145,643.27/x
  3. Step 3: Cross multiply
    208,792.89x = 313,087.28 × 145,643.27
  4. Step 4: Simplify right side
    208,792.89x = 45,599,052,960.95
  5. Step 5: Solve for x
    x = 45,599,052,960.95/208,792.89
  6. Step 6: Final answer
    x = 218,393.71

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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.