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Finding the Fourth Proportional to 211,412, 291,721.82 and 115,893.56

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Solution

The fourth proportional to 211,412, 291,721.82 and 115,893.56 is: 159,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,412 : 291,721.82 = 115,893.56 : x
  2. Step 2: Convert to fraction form
    211,412/291,721.82 = 115,893.56/x
  3. Step 3: Cross multiply
    211,412x = 291,721.82 × 115,893.56
  4. Step 4: Simplify right side
    211,412x = 33,808,680,249.48
  5. Step 5: Solve for x
    x = 33,808,680,249.48/211,412
  6. Step 6: Final answer
    x = 159,918.45

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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.