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Finding the Fourth Proportional to 99,893.12, 149,839.14 and 40,728.56

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Solution

The fourth proportional to 99,893.12, 149,839.14 and 40,728.56 is: 61,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,893.12 : 149,839.14 = 40,728.56 : x
  2. Step 2: Convert to fraction form
    99,893.12/149,839.14 = 40,728.56/x
  3. Step 3: Cross multiply
    99,893.12x = 149,839.14 × 40,728.56
  4. Step 4: Simplify right side
    99,893.12x = 6,102,732,403.84
  5. Step 5: Solve for x
    x = 6,102,732,403.84/99,893.12
  6. Step 6: Final answer
    x = 61,092.62

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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.