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Finding the Fourth Proportional to 136,321.84, 188,107.80 and 75,878

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Solution

The fourth proportional to 136,321.84, 188,107.80 and 75,878 is: 104,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,321.84 : 188,107.80 = 75,878 : x
  2. Step 2: Convert to fraction form
    136,321.84/188,107.80 = 75,878/x
  3. Step 3: Cross multiply
    136,321.84x = 188,107.80 × 75,878
  4. Step 4: Simplify right side
    136,321.84x = 14,273,243,648.40
  5. Step 5: Solve for x
    x = 14,273,243,648.40/136,321.84
  6. Step 6: Final answer
    x = 104,702.55

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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.