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Finding the Fourth Proportional to 215,763.86, 297,747.93 and 120,268.51

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Solution

The fourth proportional to 215,763.86, 297,747.93 and 120,268.51 is: 165,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,763.86 : 297,747.93 = 120,268.51 : x
  2. Step 2: Convert to fraction form
    215,763.86/297,747.93 = 120,268.51/x
  3. Step 3: Cross multiply
    215,763.86x = 297,747.93 × 120,268.51
  4. Step 4: Simplify right side
    215,763.86x = 35,809,699,603.32
  5. Step 5: Solve for x
    x = 35,809,699,603.32/215,763.86
  6. Step 6: Final answer
    x = 165,967.09

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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.