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Finding the Fourth Proportional to 75,078, 112,617 and 19,674

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Solution

The fourth proportional to 75,078, 112,617 and 19,674 is: 29,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078 : 112,617 = 19,674 : x
  2. Step 2: Convert to fraction form
    75,078/112,617 = 19,674/x
  3. Step 3: Cross multiply
    75,078x = 112,617 × 19,674
  4. Step 4: Simplify right side
    75,078x = 2,215,626,858
  5. Step 5: Solve for x
    x = 2,215,626,858/75,078
  6. Step 6: Final answer
    x = 29,511

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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.