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Finding the Fourth Proportional to 42,844, 64,266 and 18,220

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Solution

The fourth proportional to 42,844, 64,266 and 18,220 is: 27,330

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844 : 64,266 = 18,220 : x
  2. Step 2: Convert to fraction form
    42,844/64,266 = 18,220/x
  3. Step 3: Cross multiply
    42,844x = 64,266 × 18,220
  4. Step 4: Simplify right side
    42,844x = 1,170,926,520
  5. Step 5: Solve for x
    x = 1,170,926,520/42,844
  6. Step 6: Final answer
    x = 27,330

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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.