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Finding the Fourth Proportional to 135,112.54, 186,429.64 and 84,788.86

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Solution

The fourth proportional to 135,112.54, 186,429.64 and 84,788.86 is: 116,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,112.54 : 186,429.64 = 84,788.86 : x
  2. Step 2: Convert to fraction form
    135,112.54/186,429.64 = 84,788.86/x
  3. Step 3: Cross multiply
    135,112.54x = 186,429.64 × 84,788.86
  4. Step 4: Simplify right side
    135,112.54x = 15,807,155,289.72
  5. Step 5: Solve for x
    x = 15,807,155,289.72/135,112.54
  6. Step 6: Final answer
    x = 116,992.52

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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.