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Finding the Fourth Proportional to 208,954.89, 288,480.81 and 127,313.94

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Solution

The fourth proportional to 208,954.89, 288,480.81 and 127,313.94 is: 175,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,954.89 : 288,480.81 = 127,313.94 : x
  2. Step 2: Convert to fraction form
    208,954.89/288,480.81 = 127,313.94/x
  3. Step 3: Cross multiply
    208,954.89x = 288,480.81 × 127,313.94
  4. Step 4: Simplify right side
    208,954.89x = 36,727,628,535.49
  5. Step 5: Solve for x
    x = 36,727,628,535.49/208,954.89
  6. Step 6: Final answer
    x = 175,768.22

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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.