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Finding the Fourth Proportional to 211,084.99, 291,297.72 and 114,289.89

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Solution

The fourth proportional to 211,084.99, 291,297.72 and 114,289.89 is: 157,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,084.99 : 291,297.72 = 114,289.89 : x
  2. Step 2: Convert to fraction form
    211,084.99/291,297.72 = 114,289.89/x
  3. Step 3: Cross multiply
    211,084.99x = 291,297.72 × 114,289.89
  4. Step 4: Simplify right side
    211,084.99x = 33,292,383,069.39
  5. Step 5: Solve for x
    x = 33,292,383,069.39/211,084.99
  6. Step 6: Final answer
    x = 157,720.28

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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.