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Finding the Fourth Proportional to 208,872, 288,243.36 and 119,448

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Solution

The fourth proportional to 208,872, 288,243.36 and 119,448 is: 164,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,872 : 288,243.36 = 119,448 : x
  2. Step 2: Convert to fraction form
    208,872/288,243.36 = 119,448/x
  3. Step 3: Cross multiply
    208,872x = 288,243.36 × 119,448
  4. Step 4: Simplify right side
    208,872x = 34,430,092,865.28
  5. Step 5: Solve for x
    x = 34,430,092,865.28/208,872
  6. Step 6: Final answer
    x = 164,838.24

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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.