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Finding the Fourth Proportional to 52,118.96, 78,177.69 and 12,676.14

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Solution

The fourth proportional to 52,118.96, 78,177.69 and 12,676.14 is: 19,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,118.96 : 78,177.69 = 12,676.14 : x
  2. Step 2: Convert to fraction form
    52,118.96/78,177.69 = 12,676.14/x
  3. Step 3: Cross multiply
    52,118.96x = 78,177.69 × 12,676.14
  4. Step 4: Simplify right side
    52,118.96x = 990,991,343.32
  5. Step 5: Solve for x
    x = 990,991,343.32/52,118.96
  6. Step 6: Final answer
    x = 19,014.03

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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.