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Finding the Fourth Proportional to 132,447, 182,776.86 and 72,831

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Solution

The fourth proportional to 132,447, 182,776.86 and 72,831 is: 100,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,447 : 182,776.86 = 72,831 : x
  2. Step 2: Convert to fraction form
    132,447/182,776.86 = 72,831/x
  3. Step 3: Cross multiply
    132,447x = 182,776.86 × 72,831
  4. Step 4: Simplify right side
    132,447x = 13,311,821,490.66
  5. Step 5: Solve for x
    x = 13,311,821,490.66/132,447
  6. Step 6: Final answer
    x = 100,506.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.