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Finding the Fourth Proportional to 207,285.80, 310,698.30 and 113,858.60

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Solution

The fourth proportional to 207,285.80, 310,698.30 and 113,858.60 is: 170,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,285.80 : 310,698.30 = 113,858.60 : x
  2. Step 2: Convert to fraction form
    207,285.80/310,698.30 = 113,858.60/x
  3. Step 3: Cross multiply
    207,285.80x = 310,698.30 × 113,858.60
  4. Step 4: Simplify right side
    207,285.80x = 35,375,673,460.38
  5. Step 5: Solve for x
    x = 35,375,673,460.38/207,285.80
  6. Step 6: Final answer
    x = 170,661.35

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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.