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Finding the Fourth Proportional to 136,674.13, 205,019.84 and 57,777.97

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Solution

The fourth proportional to 136,674.13, 205,019.84 and 57,777.97 is: 86,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674.13 : 205,019.84 = 57,777.97 : x
  2. Step 2: Convert to fraction form
    136,674.13/205,019.84 = 57,777.97/x
  3. Step 3: Cross multiply
    136,674.13x = 205,019.84 × 57,777.97
  4. Step 4: Simplify right side
    136,674.13x = 11,845,630,164.92
  5. Step 5: Solve for x
    x = 11,845,630,164.92/136,674.13
  6. Step 6: Final answer
    x = 86,670.61

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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.