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Finding the Fourth Proportional to 74,682, 112,023.20 and 19,278

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Solution

The fourth proportional to 74,682, 112,023.20 and 19,278 is: 28,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,682 : 112,023.20 = 19,278 : x
  2. Step 2: Convert to fraction form
    74,682/112,023.20 = 19,278/x
  3. Step 3: Cross multiply
    74,682x = 112,023.20 × 19,278
  4. Step 4: Simplify right side
    74,682x = 2,159,583,297.80
  5. Step 5: Solve for x
    x = 2,159,583,297.80/74,682
  6. Step 6: Final answer
    x = 28,917.05

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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.