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Finding the Fourth Proportional to 211,456, 291,782.48 and 115,937.60

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Solution

The fourth proportional to 211,456, 291,782.48 and 115,937.60 is: 159,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,456 : 291,782.48 = 115,937.60 : x
  2. Step 2: Convert to fraction form
    211,456/291,782.48 = 115,937.60/x
  3. Step 3: Cross multiply
    211,456x = 291,782.48 × 115,937.60
  4. Step 4: Simplify right side
    211,456x = 33,828,560,453.25
  5. Step 5: Solve for x
    x = 33,828,560,453.25/211,456
  6. Step 6: Final answer
    x = 159,979.19

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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.