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Finding the Fourth Proportional to 132,972.54, 183,483.96 and 76,383.92

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Solution

The fourth proportional to 132,972.54, 183,483.96 and 76,383.92 is: 105,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972.54 : 183,483.96 = 76,383.92 : x
  2. Step 2: Convert to fraction form
    132,972.54/183,483.96 = 76,383.92/x
  3. Step 3: Cross multiply
    132,972.54x = 183,483.96 × 76,383.92
  4. Step 4: Simplify right side
    132,972.54x = 14,015,224,121.92
  5. Step 5: Solve for x
    x = 14,015,224,121.92/132,972.54
  6. Step 6: Final answer
    x = 105,399.39

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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.