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Finding the Fourth Proportional to 109,195.83, 163,820.94 and 86,791.05

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Solution

The fourth proportional to 109,195.83, 163,820.94 and 86,791.05 is: 130,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.83 : 163,820.94 = 86,791.05 : x
  2. Step 2: Convert to fraction form
    109,195.83/163,820.94 = 86,791.05/x
  3. Step 3: Cross multiply
    109,195.83x = 163,820.94 × 86,791.05
  4. Step 4: Simplify right side
    109,195.83x = 14,218,191,394.59
  5. Step 5: Solve for x
    x = 14,218,191,394.59/109,195.83
  6. Step 6: Final answer
    x = 130,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.