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Finding the Fourth Proportional to 154,305, 212,930.82 and 86,310.16

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Solution

The fourth proportional to 154,305, 212,930.82 and 86,310.16 is: 119,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,305 : 212,930.82 = 86,310.16 : x
  2. Step 2: Convert to fraction form
    154,305/212,930.82 = 86,310.16/x
  3. Step 3: Cross multiply
    154,305x = 212,930.82 × 86,310.16
  4. Step 4: Simplify right side
    154,305x = 18,378,093,143.13
  5. Step 5: Solve for x
    x = 18,378,093,143.13/154,305
  6. Step 6: Final answer
    x = 119,102.38

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1.5x scale

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.