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Finding the Fourth Proportional to 86,091.62, 128,922.66 and 54,406.09

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Solution

The fourth proportional to 86,091.62, 128,922.66 and 54,406.09 is: 81,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,091.62 : 128,922.66 = 54,406.09 : x
  2. Step 2: Convert to fraction form
    86,091.62/128,922.66 = 54,406.09/x
  3. Step 3: Cross multiply
    86,091.62x = 128,922.66 × 54,406.09
  4. Step 4: Simplify right side
    86,091.62x = 7,014,178,347.89
  5. Step 5: Solve for x
    x = 7,014,178,347.89/86,091.62
  6. Step 6: Final answer
    x = 81,473.41

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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.