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Finding the Fourth Proportional to 211,391.51, 291,723.12 and 115,897.97

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Solution

The fourth proportional to 211,391.51, 291,723.12 and 115,897.97 is: 159,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,391.51 : 291,723.12 = 115,897.97 : x
  2. Step 2: Convert to fraction form
    211,391.51/291,723.12 = 115,897.97/x
  3. Step 3: Cross multiply
    211,391.51x = 291,723.12 × 115,897.97
  4. Step 4: Simplify right side
    211,391.51x = 33,810,118,139.37
  5. Step 5: Solve for x
    x = 33,810,118,139.37/211,391.51
  6. Step 6: Final answer
    x = 159,940.76

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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.