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Finding the Fourth Proportional to 158,921.20, 238,163.10 and 105,461.20

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Solution

The fourth proportional to 158,921.20, 238,163.10 and 105,461.20 is: 158,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,921.20 : 238,163.10 = 105,461.20 : x
  2. Step 2: Convert to fraction form
    158,921.20/238,163.10 = 105,461.20/x
  3. Step 3: Cross multiply
    158,921.20x = 238,163.10 × 105,461.20
  4. Step 4: Simplify right side
    158,921.20x = 25,116,966,321.72
  5. Step 5: Solve for x
    x = 25,116,966,321.72/158,921.20
  6. Step 6: Final answer
    x = 158,046.67

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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.