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Finding the Fourth Proportional to 136,675.13, 205,021.34 and 57,778.97

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Solution

The fourth proportional to 136,675.13, 205,021.34 and 57,778.97 is: 86,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,675.13 : 205,021.34 = 57,778.97 : x
  2. Step 2: Convert to fraction form
    136,675.13/205,021.34 = 57,778.97/x
  3. Step 3: Cross multiply
    136,675.13x = 205,021.34 × 57,778.97
  4. Step 4: Simplify right side
    136,675.13x = 11,845,921,853.22
  5. Step 5: Solve for x
    x = 11,845,921,853.22/136,675.13
  6. Step 6: Final answer
    x = 86,672.11

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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.