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Finding the Fourth Proportional to 208,997.21, 288,440.78 and 124,114.28

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Solution

The fourth proportional to 208,997.21, 288,440.78 and 124,114.28 is: 171,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,997.21 : 288,440.78 = 124,114.28 : x
  2. Step 2: Convert to fraction form
    208,997.21/288,440.78 = 124,114.28/x
  3. Step 3: Cross multiply
    208,997.21x = 288,440.78 × 124,114.28
  4. Step 4: Simplify right side
    208,997.21x = 35,799,617,669.56
  5. Step 5: Solve for x
    x = 35,799,617,669.56/208,997.21
  6. Step 6: Final answer
    x = 171,292.32

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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.