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Finding the Fourth Proportional to 115,204.50, 172,741.62 and 47,698.36

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Solution

The fourth proportional to 115,204.50, 172,741.62 and 47,698.36 is: 71,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,204.50 : 172,741.62 = 47,698.36 : x
  2. Step 2: Convert to fraction form
    115,204.50/172,741.62 = 47,698.36/x
  3. Step 3: Cross multiply
    115,204.50x = 172,741.62 × 47,698.36
  4. Step 4: Simplify right side
    115,204.50x = 8,239,491,977.74
  5. Step 5: Solve for x
    x = 8,239,491,977.74/115,204.50
  6. Step 6: Final answer
    x = 71,520.57

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