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Finding the Fourth Proportional to 106,816, 160,083.78 and 78,603.96

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Solution

The fourth proportional to 106,816, 160,083.78 and 78,603.96 is: 117,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816 : 160,083.78 = 78,603.96 : x
  2. Step 2: Convert to fraction form
    106,816/160,083.78 = 78,603.96/x
  3. Step 3: Cross multiply
    106,816x = 160,083.78 × 78,603.96
  4. Step 4: Simplify right side
    106,816x = 12,583,219,039.77
  5. Step 5: Solve for x
    x = 12,583,219,039.77/106,816
  6. Step 6: Final answer
    x = 117,802.75

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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.