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Finding the Fourth Proportional to 154,705.48, 213,489.71 and 85,794.54

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Solution

The fourth proportional to 154,705.48, 213,489.71 and 85,794.54 is: 118,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,705.48 : 213,489.71 = 85,794.54 : x
  2. Step 2: Convert to fraction form
    154,705.48/213,489.71 = 85,794.54/x
  3. Step 3: Cross multiply
    154,705.48x = 213,489.71 × 85,794.54
  4. Step 4: Simplify right side
    154,705.48x = 18,316,250,556.35
  5. Step 5: Solve for x
    x = 18,316,250,556.35/154,705.48
  6. Step 6: Final answer
    x = 118,394.32

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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.