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Finding the Fourth Proportional to 235,636, 325,175.16 and 140,140.60

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Solution

The fourth proportional to 235,636, 325,175.16 and 140,140.60 is: 193,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,636 : 325,175.16 = 140,140.60 : x
  2. Step 2: Convert to fraction form
    235,636/325,175.16 = 140,140.60/x
  3. Step 3: Cross multiply
    235,636x = 325,175.16 × 140,140.60
  4. Step 4: Simplify right side
    235,636x = 45,570,242,027.50
  5. Step 5: Solve for x
    x = 45,570,242,027.50/235,636
  6. Step 6: Final answer
    x = 193,392.53

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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.