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Finding the Fourth Proportional to 134,902.54, 186,178.74 and 78,310.54

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Solution

The fourth proportional to 134,902.54, 186,178.74 and 78,310.54 is: 108,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,902.54 : 186,178.74 = 78,310.54 : x
  2. Step 2: Convert to fraction form
    134,902.54/186,178.74 = 78,310.54/x
  3. Step 3: Cross multiply
    134,902.54x = 186,178.74 × 78,310.54
  4. Step 4: Simplify right side
    134,902.54x = 14,579,757,665.92
  5. Step 5: Solve for x
    x = 14,579,757,665.92/134,902.54
  6. Step 6: Final answer
    x = 108,076.23

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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.