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Finding the Fourth Proportional to 47,698.56, 65,828.16 and 40,648.32

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Solution

The fourth proportional to 47,698.56, 65,828.16 and 40,648.32 is: 56,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.56 : 65,828.16 = 40,648.32 : x
  2. Step 2: Convert to fraction form
    47,698.56/65,828.16 = 40,648.32/x
  3. Step 3: Cross multiply
    47,698.56x = 65,828.16 × 40,648.32
  4. Step 4: Simplify right side
    47,698.56x = 2,675,804,112.69
  5. Step 5: Solve for x
    x = 2,675,804,112.69/47,698.56
  6. Step 6: Final answer
    x = 56,098.22

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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.