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Finding the Fourth Proportional to 208,794.18, 288,142.36 and 122,737.37

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Solution

The fourth proportional to 208,794.18, 288,142.36 and 122,737.37 is: 169,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,794.18 : 288,142.36 = 122,737.37 : x
  2. Step 2: Convert to fraction form
    208,794.18/288,142.36 = 122,737.37/x
  3. Step 3: Cross multiply
    208,794.18x = 288,142.36 × 122,737.37
  4. Step 4: Simplify right side
    208,794.18x = 35,365,835,451.99
  5. Step 5: Solve for x
    x = 35,365,835,451.99/208,794.18
  6. Step 6: Final answer
    x = 169,381.33

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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.