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Finding the Fourth Proportional to 105,163.50, 144,974.91 and 64,850.21

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Solution

The fourth proportional to 105,163.50, 144,974.91 and 64,850.21 is: 89,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.50 : 144,974.91 = 64,850.21 : x
  2. Step 2: Convert to fraction form
    105,163.50/144,974.91 = 64,850.21/x
  3. Step 3: Cross multiply
    105,163.50x = 144,974.91 × 64,850.21
  4. Step 4: Simplify right side
    105,163.50x = 9,401,652,633.36
  5. Step 5: Solve for x
    x = 9,401,652,633.36/105,163.50
  6. Step 6: Final answer
    x = 89,400.34

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1.5x scale

Why These Related Problems?

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