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Finding the Fourth Proportional to 106,383.81, 159,599.06 and 31,509.81

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Solution

The fourth proportional to 106,383.81, 159,599.06 and 31,509.81 is: 47,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.81 : 159,599.06 = 31,509.81 : x
  2. Step 2: Convert to fraction form
    106,383.81/159,599.06 = 31,509.81/x
  3. Step 3: Cross multiply
    106,383.81x = 159,599.06 × 31,509.81
  4. Step 4: Simplify right side
    106,383.81x = 5,028,936,017.39
  5. Step 5: Solve for x
    x = 5,028,936,017.39/106,383.81
  6. Step 6: Final answer
    x = 47,271.63

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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.