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Finding the Fourth Proportional to 90,378.63, 135,477.72 and 31,176.54

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Solution

The fourth proportional to 90,378.63, 135,477.72 and 31,176.54 is: 46,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,378.63 : 135,477.72 = 31,176.54 : x
  2. Step 2: Convert to fraction form
    90,378.63/135,477.72 = 31,176.54/x
  3. Step 3: Cross multiply
    90,378.63x = 135,477.72 × 31,176.54
  4. Step 4: Simplify right side
    90,378.63x = 4,223,726,556.69
  5. Step 5: Solve for x
    x = 4,223,726,556.69/90,378.63
  6. Step 6: Final answer
    x = 46,733.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.