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Finding the Fourth Proportional to 163,258.80, 225,319.88 and 90,678

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Solution

The fourth proportional to 163,258.80, 225,319.88 and 90,678 is: 125,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,258.80 : 225,319.88 = 90,678 : x
  2. Step 2: Convert to fraction form
    163,258.80/225,319.88 = 90,678/x
  3. Step 3: Cross multiply
    163,258.80x = 225,319.88 × 90,678
  4. Step 4: Simplify right side
    163,258.80x = 20,431,556,078.64
  5. Step 5: Solve for x
    x = 20,431,556,078.64/163,258.80
  6. Step 6: Final answer
    x = 125,148.27

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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.