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Finding the Fourth Proportional to 120,757.77, 181,172.70 and 57,657.96

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Solution

The fourth proportional to 120,757.77, 181,172.70 and 57,657.96 is: 86,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.77 : 181,172.70 = 57,657.96 : x
  2. Step 2: Convert to fraction form
    120,757.77/181,172.70 = 57,657.96/x
  3. Step 3: Cross multiply
    120,757.77x = 181,172.70 × 57,657.96
  4. Step 4: Simplify right side
    120,757.77x = 10,446,048,289.69
  5. Step 5: Solve for x
    x = 10,446,048,289.69/120,757.77
  6. Step 6: Final answer
    x = 86,504.15

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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.