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Finding the Fourth Proportional to 61,163.82, 91,784.70 and 27,887.20

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Solution

The fourth proportional to 61,163.82, 91,784.70 and 27,887.20 is: 41,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,163.82 : 91,784.70 = 27,887.20 : x
  2. Step 2: Convert to fraction form
    61,163.82/91,784.70 = 27,887.20/x
  3. Step 3: Cross multiply
    61,163.82x = 91,784.70 × 27,887.20
  4. Step 4: Simplify right side
    61,163.82x = 2,559,618,285.84
  5. Step 5: Solve for x
    x = 2,559,618,285.84/61,163.82
  6. Step 6: Final answer
    x = 41,848.57

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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.