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Finding the Fourth Proportional to 120,777.94, 180,991.95 and 68,075.29

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Solution

The fourth proportional to 120,777.94, 180,991.95 and 68,075.29 is: 102,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,777.94 : 180,991.95 = 68,075.29 : x
  2. Step 2: Convert to fraction form
    120,777.94/180,991.95 = 68,075.29/x
  3. Step 3: Cross multiply
    120,777.94x = 180,991.95 × 68,075.29
  4. Step 4: Simplify right side
    120,777.94x = 12,321,079,483.92
  5. Step 5: Solve for x
    x = 12,321,079,483.92/120,777.94
  6. Step 6: Final answer
    x = 102,014.32

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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.