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Finding the Fourth Proportional to 73,614, 110,421 and 18,210

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Solution

The fourth proportional to 73,614, 110,421 and 18,210 is: 27,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,614 : 110,421 = 18,210 : x
  2. Step 2: Convert to fraction form
    73,614/110,421 = 18,210/x
  3. Step 3: Cross multiply
    73,614x = 110,421 × 18,210
  4. Step 4: Simplify right side
    73,614x = 2,010,766,410
  5. Step 5: Solve for x
    x = 2,010,766,410/73,614
  6. Step 6: Final answer
    x = 27,315

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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.