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Finding the Fourth Proportional to 105,216.35, 157,861.43 and 54,591.03

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Solution

The fourth proportional to 105,216.35, 157,861.43 and 54,591.03 is: 81,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,216.35 : 157,861.43 = 54,591.03 : x
  2. Step 2: Convert to fraction form
    105,216.35/157,861.43 = 54,591.03/x
  3. Step 3: Cross multiply
    105,216.35x = 157,861.43 × 54,591.03
  4. Step 4: Simplify right side
    105,216.35x = 8,617,817,788.02
  5. Step 5: Solve for x
    x = 8,617,817,788.02/105,216.35
  6. Step 6: Final answer
    x = 81,905.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.