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Finding the Fourth Proportional to 149,049.88, 223,574.78 and 86,676.64

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Solution

The fourth proportional to 149,049.88, 223,574.78 and 86,676.64 is: 130,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049.88 : 223,574.78 = 86,676.64 : x
  2. Step 2: Convert to fraction form
    149,049.88/223,574.78 = 86,676.64/x
  3. Step 3: Cross multiply
    149,049.88x = 223,574.78 × 86,676.64
  4. Step 4: Simplify right side
    149,049.88x = 19,378,710,719.14
  5. Step 5: Solve for x
    x = 19,378,710,719.14/149,049.88
  6. Step 6: Final answer
    x = 130,014.94

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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.