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Finding the Fourth Proportional to 149,065.94, 205,692.29 and 100,772.94

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Solution

The fourth proportional to 149,065.94, 205,692.29 and 100,772.94 is: 139,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,065.94 : 205,692.29 = 100,772.94 : x
  2. Step 2: Convert to fraction form
    149,065.94/205,692.29 = 100,772.94/x
  3. Step 3: Cross multiply
    149,065.94x = 205,692.29 × 100,772.94
  4. Step 4: Simplify right side
    149,065.94x = 20,728,217,564.80
  5. Step 5: Solve for x
    x = 20,728,217,564.80/149,065.94
  6. Step 6: Final answer
    x = 139,054.02

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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.