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Finding the Fourth Proportional to 210,991.64, 291,169.25 and 115,507.22

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Solution

The fourth proportional to 210,991.64, 291,169.25 and 115,507.22 is: 159,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,991.64 : 291,169.25 = 115,507.22 : x
  2. Step 2: Convert to fraction form
    210,991.64/291,169.25 = 115,507.22/x
  3. Step 3: Cross multiply
    210,991.64x = 291,169.25 × 115,507.22
  4. Step 4: Simplify right side
    210,991.64x = 33,632,150,616.99
  5. Step 5: Solve for x
    x = 33,632,150,616.99/210,991.64
  6. Step 6: Final answer
    x = 159,400.39

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1.5x scale

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.