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Finding the Fourth Proportional to 115,147, 172,720.50 and 49,483

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Solution

The fourth proportional to 115,147, 172,720.50 and 49,483 is: 74,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,147 : 172,720.50 = 49,483 : x
  2. Step 2: Convert to fraction form
    115,147/172,720.50 = 49,483/x
  3. Step 3: Cross multiply
    115,147x = 172,720.50 × 49,483
  4. Step 4: Simplify right side
    115,147x = 8,546,728,501.50
  5. Step 5: Solve for x
    x = 8,546,728,501.50/115,147
  6. Step 6: Final answer
    x = 74,224.50

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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.