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Finding the Fourth Proportional to 80,966, 121,486.52 and 31,029.36

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Solution

The fourth proportional to 80,966, 121,486.52 and 31,029.36 is: 46,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966 : 121,486.52 = 31,029.36 : x
  2. Step 2: Convert to fraction form
    80,966/121,486.52 = 31,029.36/x
  3. Step 3: Cross multiply
    80,966x = 121,486.52 × 31,029.36
  4. Step 4: Simplify right side
    80,966x = 3,769,648,964.23
  5. Step 5: Solve for x
    x = 3,769,648,964.23/80,966
  6. Step 6: Final answer
    x = 46,558.42

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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.