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Finding the Fourth Proportional to 120,104, 165,782.40 and 75,392

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Solution

The fourth proportional to 120,104, 165,782.40 and 75,392 is: 104,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,104 : 165,782.40 = 75,392 : x
  2. Step 2: Convert to fraction form
    120,104/165,782.40 = 75,392/x
  3. Step 3: Cross multiply
    120,104x = 165,782.40 × 75,392
  4. Step 4: Simplify right side
    120,104x = 12,498,666,700.80
  5. Step 5: Solve for x
    x = 12,498,666,700.80/120,104
  6. Step 6: Final answer
    x = 104,065.37

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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.