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Finding the Fourth Proportional to 47,241.81, 65,173.14 and 28,368

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Solution

The fourth proportional to 47,241.81, 65,173.14 and 28,368 is: 39,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,241.81 : 65,173.14 = 28,368 : x
  2. Step 2: Convert to fraction form
    47,241.81/65,173.14 = 28,368/x
  3. Step 3: Cross multiply
    47,241.81x = 65,173.14 × 28,368
  4. Step 4: Simplify right side
    47,241.81x = 1,848,831,635.52
  5. Step 5: Solve for x
    x = 1,848,831,635.52/47,241.81
  6. Step 6: Final answer
    x = 39,135.50

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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.