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Finding the Fourth Proportional to 116,169.49, 160,320.36 and 65,198.35

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Solution

The fourth proportional to 116,169.49, 160,320.36 and 65,198.35 is: 89,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,169.49 : 160,320.36 = 65,198.35 : x
  2. Step 2: Convert to fraction form
    116,169.49/160,320.36 = 65,198.35/x
  3. Step 3: Cross multiply
    116,169.49x = 160,320.36 × 65,198.35
  4. Step 4: Simplify right side
    116,169.49x = 10,452,622,943.41
  5. Step 5: Solve for x
    x = 10,452,622,943.41/116,169.49
  6. Step 6: Final answer
    x = 89,977.35

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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.