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Finding the Fourth Proportional to 99,692.49, 149,538.72 and 29,571.20

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Solution

The fourth proportional to 99,692.49, 149,538.72 and 29,571.20 is: 44,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692.49 : 149,538.72 = 29,571.20 : x
  2. Step 2: Convert to fraction form
    99,692.49/149,538.72 = 29,571.20/x
  3. Step 3: Cross multiply
    99,692.49x = 149,538.72 × 29,571.20
  4. Step 4: Simplify right side
    99,692.49x = 4,422,038,649.17
  5. Step 5: Solve for x
    x = 4,422,038,649.17/99,692.49
  6. Step 6: Final answer
    x = 44,356.79

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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.