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Finding the Fourth Proportional to 81,628.56, 122,384.52 and 34,855.92

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Solution

The fourth proportional to 81,628.56, 122,384.52 and 34,855.92 is: 52,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628.56 : 122,384.52 = 34,855.92 : x
  2. Step 2: Convert to fraction form
    81,628.56/122,384.52 = 34,855.92/x
  3. Step 3: Cross multiply
    81,628.56x = 122,384.52 × 34,855.92
  4. Step 4: Simplify right side
    81,628.56x = 4,265,825,038.36
  5. Step 5: Solve for x
    x = 4,265,825,038.36/81,628.56
  6. Step 6: Final answer
    x = 52,258.98

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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.