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Finding the Fourth Proportional to 154,384, 213,049.92 and 83,728

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Solution

The fourth proportional to 154,384, 213,049.92 and 83,728 is: 115,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,384 : 213,049.92 = 83,728 : x
  2. Step 2: Convert to fraction form
    154,384/213,049.92 = 83,728/x
  3. Step 3: Cross multiply
    154,384x = 213,049.92 × 83,728
  4. Step 4: Simplify right side
    154,384x = 17,838,243,701.76
  5. Step 5: Solve for x
    x = 17,838,243,701.76/154,384
  6. Step 6: Final answer
    x = 115,544.64

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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.