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Finding the Fourth Proportional to 208,836, 288,193.68 and 119,429.28

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Solution

The fourth proportional to 208,836, 288,193.68 and 119,429.28 is: 164,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,836 : 288,193.68 = 119,429.28 : x
  2. Step 2: Convert to fraction form
    208,836/288,193.68 = 119,429.28/x
  3. Step 3: Cross multiply
    208,836x = 288,193.68 × 119,429.28
  4. Step 4: Simplify right side
    208,836x = 34,418,763,702.95
  5. Step 5: Solve for x
    x = 34,418,763,702.95/208,836
  6. Step 6: Final answer
    x = 164,812.41

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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.