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Finding the Fourth Proportional to 188,395.88, 259,985.52 and 107,823

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Solution

The fourth proportional to 188,395.88, 259,985.52 and 107,823 is: 148,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,395.88 : 259,985.52 = 107,823 : x
  2. Step 2: Convert to fraction form
    188,395.88/259,985.52 = 107,823/x
  3. Step 3: Cross multiply
    188,395.88x = 259,985.52 × 107,823
  4. Step 4: Simplify right side
    188,395.88x = 28,032,418,722.96
  5. Step 5: Solve for x
    x = 28,032,418,722.96/188,395.88
  6. Step 6: Final answer
    x = 148,795.29

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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.