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Finding the Fourth Proportional to 90,342.96, 135,512.48 and 31,176.64

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Solution

The fourth proportional to 90,342.96, 135,512.48 and 31,176.64 is: 46,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,342.96 : 135,512.48 = 31,176.64 : x
  2. Step 2: Convert to fraction form
    90,342.96/135,512.48 = 31,176.64/x
  3. Step 3: Cross multiply
    90,342.96x = 135,512.48 × 31,176.64
  4. Step 4: Simplify right side
    90,342.96x = 4,224,823,804.47
  5. Step 5: Solve for x
    x = 4,224,823,804.47/90,342.96
  6. Step 6: Final answer
    x = 46,764.28

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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.