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Finding the Fourth Proportional to 75,360, 113,040 and 19,956

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Solution

The fourth proportional to 75,360, 113,040 and 19,956 is: 29,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 113,040 = 19,956 : x
  2. Step 2: Convert to fraction form
    75,360/113,040 = 19,956/x
  3. Step 3: Cross multiply
    75,360x = 113,040 × 19,956
  4. Step 4: Simplify right side
    75,360x = 2,255,826,240
  5. Step 5: Solve for x
    x = 2,255,826,240/75,360
  6. Step 6: Final answer
    x = 29,934

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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.