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Finding the Fourth Proportional to 210,696, 290,760.48 and 115,203.44

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Solution

The fourth proportional to 210,696, 290,760.48 and 115,203.44 is: 158,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,696 : 290,760.48 = 115,203.44 : x
  2. Step 2: Convert to fraction form
    210,696/290,760.48 = 115,203.44/x
  3. Step 3: Cross multiply
    210,696x = 290,760.48 × 115,203.44
  4. Step 4: Simplify right side
    210,696x = 33,496,607,512.05
  5. Step 5: Solve for x
    x = 33,496,607,512.05/210,696
  6. Step 6: Final answer
    x = 158,980.75

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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.