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Finding the Fourth Proportional to 84,374.64, 126,570.60 and 31,828.32

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Solution

The fourth proportional to 84,374.64, 126,570.60 and 31,828.32 is: 47,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,374.64 : 126,570.60 = 31,828.32 : x
  2. Step 2: Convert to fraction form
    84,374.64/126,570.60 = 31,828.32/x
  3. Step 3: Cross multiply
    84,374.64x = 126,570.60 × 31,828.32
  4. Step 4: Simplify right side
    84,374.64x = 4,028,529,559.39
  5. Step 5: Solve for x
    x = 4,028,529,559.39/84,374.64
  6. Step 6: Final answer
    x = 47,745.74

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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.