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Finding the Fourth Proportional to 109,945.80, 164,918.70 and 103,822.20

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Solution

The fourth proportional to 109,945.80, 164,918.70 and 103,822.20 is: 155,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,945.80 : 164,918.70 = 103,822.20 : x
  2. Step 2: Convert to fraction form
    109,945.80/164,918.70 = 103,822.20/x
  3. Step 3: Cross multiply
    109,945.80x = 164,918.70 × 103,822.20
  4. Step 4: Simplify right side
    109,945.80x = 17,122,222,255.14
  5. Step 5: Solve for x
    x = 17,122,222,255.14/109,945.80
  6. Step 6: Final answer
    x = 155,733.30

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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.