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Finding the Fourth Proportional to 76,051.75, 114,077.63 and 20,647.75

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Solution

The fourth proportional to 76,051.75, 114,077.63 and 20,647.75 is: 30,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.75 : 114,077.63 = 20,647.75 : x
  2. Step 2: Convert to fraction form
    76,051.75/114,077.63 = 20,647.75/x
  3. Step 3: Cross multiply
    76,051.75x = 114,077.63 × 20,647.75
  4. Step 4: Simplify right side
    76,051.75x = 2,355,446,384.83
  5. Step 5: Solve for x
    x = 2,355,446,384.83/76,051.75
  6. Step 6: Final answer
    x = 30,971.63

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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.