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Finding the Fourth Proportional to 86,033, 118,674.06 and 54,146.54

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Solution

The fourth proportional to 86,033, 118,674.06 and 54,146.54 is: 74,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,033 : 118,674.06 = 54,146.54 : x
  2. Step 2: Convert to fraction form
    86,033/118,674.06 = 54,146.54/x
  3. Step 3: Cross multiply
    86,033x = 118,674.06 × 54,146.54
  4. Step 4: Simplify right side
    86,033x = 6,425,789,736.75
  5. Step 5: Solve for x
    x = 6,425,789,736.75/86,033
  6. Step 6: Final answer
    x = 74,689.83

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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.