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Finding the Fourth Proportional to 188,838.10, 260,604.01 and 103,963.06

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Solution

The fourth proportional to 188,838.10, 260,604.01 and 103,963.06 is: 143,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,838.10 : 260,604.01 = 103,963.06 : x
  2. Step 2: Convert to fraction form
    188,838.10/260,604.01 = 103,963.06/x
  3. Step 3: Cross multiply
    188,838.10x = 260,604.01 × 103,963.06
  4. Step 4: Simplify right side
    188,838.10x = 27,093,190,327.87
  5. Step 5: Solve for x
    x = 27,093,190,327.87/188,838.10
  6. Step 6: Final answer
    x = 143,473.11

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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.