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Finding the Fourth Proportional to 154,647.87, 213,429 and 86,676.30

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Solution

The fourth proportional to 154,647.87, 213,429 and 86,676.30 is: 119,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,647.87 : 213,429 = 86,676.30 : x
  2. Step 2: Convert to fraction form
    154,647.87/213,429 = 86,676.30/x
  3. Step 3: Cross multiply
    154,647.87x = 213,429 × 86,676.30
  4. Step 4: Simplify right side
    154,647.87x = 18,499,236,032.70
  5. Step 5: Solve for x
    x = 18,499,236,032.70/154,647.87
  6. Step 6: Final answer
    x = 119,621.67

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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.