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Finding the Fourth Proportional to 87,075, 120,174.84 and 51,268.32

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Solution

The fourth proportional to 87,075, 120,174.84 and 51,268.32 is: 70,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,075 : 120,174.84 = 51,268.32 : x
  2. Step 2: Convert to fraction form
    87,075/120,174.84 = 51,268.32/x
  3. Step 3: Cross multiply
    87,075x = 120,174.84 × 51,268.32
  4. Step 4: Simplify right side
    87,075x = 6,161,162,153.07
  5. Step 5: Solve for x
    x = 6,161,162,153.07/87,075
  6. Step 6: Final answer
    x = 70,756.96

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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.