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Finding the Fourth Proportional to 66,142.41, 91,241.54 and 41,900.61

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Solution

The fourth proportional to 66,142.41, 91,241.54 and 41,900.61 is: 57,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.41 : 91,241.54 = 41,900.61 : x
  2. Step 2: Convert to fraction form
    66,142.41/91,241.54 = 41,900.61/x
  3. Step 3: Cross multiply
    66,142.41x = 91,241.54 × 41,900.61
  4. Step 4: Simplify right side
    66,142.41x = 3,823,075,973.84
  5. Step 5: Solve for x
    x = 3,823,075,973.84/66,142.41
  6. Step 6: Final answer
    x = 57,800.68

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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.