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Finding the Fourth Proportional to 145,773.21, 218,690.50 and 82,623.59

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Solution

The fourth proportional to 145,773.21, 218,690.50 and 82,623.59 is: 123,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,773.21 : 218,690.50 = 82,623.59 : x
  2. Step 2: Convert to fraction form
    145,773.21/218,690.50 = 82,623.59/x
  3. Step 3: Cross multiply
    145,773.21x = 218,690.50 × 82,623.59
  4. Step 4: Simplify right side
    145,773.21x = 18,068,994,208.90
  5. Step 5: Solve for x
    x = 18,068,994,208.90/145,773.21
  6. Step 6: Final answer
    x = 123,952.78

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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.