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Finding the Fourth Proportional to 188,521.77, 282,917.58 and 68,578.50

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Solution

The fourth proportional to 188,521.77, 282,917.58 and 68,578.50 is: 102,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,521.77 : 282,917.58 = 68,578.50 : x
  2. Step 2: Convert to fraction form
    188,521.77/282,917.58 = 68,578.50/x
  3. Step 3: Cross multiply
    188,521.77x = 282,917.58 × 68,578.50
  4. Step 4: Simplify right side
    188,521.77x = 19,402,063,260.03
  5. Step 5: Solve for x
    x = 19,402,063,260.03/188,521.77
  6. Step 6: Final answer
    x = 102,916.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.