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Finding the Fourth Proportional to 208,728, 288,044.64 and 119,305.92

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Solution

The fourth proportional to 208,728, 288,044.64 and 119,305.92 is: 164,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,728 : 288,044.64 = 119,305.92 : x
  2. Step 2: Convert to fraction form
    208,728/288,044.64 = 119,305.92/x
  3. Step 3: Cross multiply
    208,728x = 288,044.64 × 119,305.92
  4. Step 4: Simplify right side
    208,728x = 34,365,430,776.27
  5. Step 5: Solve for x
    x = 34,365,430,776.27/208,728
  6. Step 6: Final answer
    x = 164,642.17

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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.