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Finding the Fourth Proportional to 66,451, 99,693.32 and 22,078

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Solution

The fourth proportional to 66,451, 99,693.32 and 22,078 is: 33,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,451 : 99,693.32 = 22,078 : x
  2. Step 2: Convert to fraction form
    66,451/99,693.32 = 22,078/x
  3. Step 3: Cross multiply
    66,451x = 99,693.32 × 22,078
  4. Step 4: Simplify right side
    66,451x = 2,201,029,118.96
  5. Step 5: Solve for x
    x = 2,201,029,118.96/66,451
  6. Step 6: Final answer
    x = 33,122.59

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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.