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Finding the Fourth Proportional to 184,992.72, 255,290.16 and 100,109.79

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Solution

The fourth proportional to 184,992.72, 255,290.16 and 100,109.79 is: 138,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,992.72 : 255,290.16 = 100,109.79 : x
  2. Step 2: Convert to fraction form
    184,992.72/255,290.16 = 100,109.79/x
  3. Step 3: Cross multiply
    184,992.72x = 255,290.16 × 100,109.79
  4. Step 4: Simplify right side
    184,992.72x = 25,557,044,306.67
  5. Step 5: Solve for x
    x = 25,557,044,306.67/184,992.72
  6. Step 6: Final answer
    x = 138,151.62

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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.