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Finding the Fourth Proportional to 106,751.94, 159,998.42 and 78,409.18

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Solution

The fourth proportional to 106,751.94, 159,998.42 and 78,409.18 is: 117,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.94 : 159,998.42 = 78,409.18 : x
  2. Step 2: Convert to fraction form
    106,751.94/159,998.42 = 78,409.18/x
  3. Step 3: Cross multiply
    106,751.94x = 159,998.42 × 78,409.18
  4. Step 4: Simplify right side
    106,751.94x = 12,545,344,913.50
  5. Step 5: Solve for x
    x = 12,545,344,913.50/106,751.94
  6. Step 6: Final answer
    x = 117,518.66

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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.