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Finding the Fourth Proportional to 47,172, 65,112 and 30,405

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Solution

The fourth proportional to 47,172, 65,112 and 30,405 is: 41,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,172 : 65,112 = 30,405 : x
  2. Step 2: Convert to fraction form
    47,172/65,112 = 30,405/x
  3. Step 3: Cross multiply
    47,172x = 65,112 × 30,405
  4. Step 4: Simplify right side
    47,172x = 1,979,730,360
  5. Step 5: Solve for x
    x = 1,979,730,360/47,172
  6. Step 6: Final answer
    x = 41,968.34

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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.