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Finding the Fourth Proportional to 99,950,653.50, 149,978,262.84 and 40,906,863

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Solution

The fourth proportional to 99,950,653.50, 149,978,262.84 and 40,906,863 is: 61,381,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,950,653.50 : 149,978,262.84 = 40,906,863 : x
  2. Step 2: Convert to fraction form
    99,950,653.50/149,978,262.84 = 40,906,863/x
  3. Step 3: Cross multiply
    99,950,653.50x = 149,978,262.84 × 40,906,863
  4. Step 4: Simplify right side
    99,950,653.50x = 6,135,140,250,973,871
  5. Step 5: Solve for x
    x = 6,135,140,250,973,871/99,950,653.50
  6. Step 6: Final answer
    x = 61,381,692.23

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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.