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Finding the Fourth Proportional to 228,258, 342,388.08 and 80,514

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Solution

The fourth proportional to 228,258, 342,388.08 and 80,514 is: 120,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,258 : 342,388.08 = 80,514 : x
  2. Step 2: Convert to fraction form
    228,258/342,388.08 = 80,514/x
  3. Step 3: Cross multiply
    228,258x = 342,388.08 × 80,514
  4. Step 4: Simplify right side
    228,258x = 27,567,033,873.12
  5. Step 5: Solve for x
    x = 27,567,033,873.12/228,258
  6. Step 6: Final answer
    x = 120,771.38

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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.