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Finding the Fourth Proportional to 82,643.75, 114,048.38 and 49,109.75

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Solution

The fourth proportional to 82,643.75, 114,048.38 and 49,109.75 is: 67,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.75 : 114,048.38 = 49,109.75 : x
  2. Step 2: Convert to fraction form
    82,643.75/114,048.38 = 49,109.75/x
  3. Step 3: Cross multiply
    82,643.75x = 114,048.38 × 49,109.75
  4. Step 4: Simplify right side
    82,643.75x = 5,600,887,184.16
  5. Step 5: Solve for x
    x = 5,600,887,184.16/82,643.75
  6. Step 6: Final answer
    x = 67,771.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.