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Finding the Fourth Proportional to 122,083.50, 183,957.12 and 100,383

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Solution

The fourth proportional to 122,083.50, 183,957.12 and 100,383 is: 151,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,083.50 : 183,957.12 = 100,383 : x
  2. Step 2: Convert to fraction form
    122,083.50/183,957.12 = 100,383/x
  3. Step 3: Cross multiply
    122,083.50x = 183,957.12 × 100,383
  4. Step 4: Simplify right side
    122,083.50x = 18,466,167,576.96
  5. Step 5: Solve for x
    x = 18,466,167,576.96/122,083.50
  6. Step 6: Final answer
    x = 151,258.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.