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Finding the Fourth Proportional to 132,383, 182,688.54 and 72,767

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Solution

The fourth proportional to 132,383, 182,688.54 and 72,767 is: 100,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,383 : 182,688.54 = 72,767 : x
  2. Step 2: Convert to fraction form
    132,383/182,688.54 = 72,767/x
  3. Step 3: Cross multiply
    132,383x = 182,688.54 × 72,767
  4. Step 4: Simplify right side
    132,383x = 13,293,696,990.18
  5. Step 5: Solve for x
    x = 13,293,696,990.18/132,383
  6. Step 6: Final answer
    x = 100,418.46

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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.