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Finding the Fourth Proportional to 115,297, 172,945.50 and 27,745

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Solution

The fourth proportional to 115,297, 172,945.50 and 27,745 is: 41,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,297 : 172,945.50 = 27,745 : x
  2. Step 2: Convert to fraction form
    115,297/172,945.50 = 27,745/x
  3. Step 3: Cross multiply
    115,297x = 172,945.50 × 27,745
  4. Step 4: Simplify right side
    115,297x = 4,798,372,897.50
  5. Step 5: Solve for x
    x = 4,798,372,897.50/115,297
  6. Step 6: Final answer
    x = 41,617.50

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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.