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Finding the Fourth Proportional to 223,197.64, 307,978.14 and 142,696.60

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Solution

The fourth proportional to 223,197.64, 307,978.14 and 142,696.60 is: 196,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,197.64 : 307,978.14 = 142,696.60 : x
  2. Step 2: Convert to fraction form
    223,197.64/307,978.14 = 142,696.60/x
  3. Step 3: Cross multiply
    223,197.64x = 307,978.14 × 142,696.60
  4. Step 4: Simplify right side
    223,197.64x = 43,947,433,452.32
  5. Step 5: Solve for x
    x = 43,947,433,452.32/223,197.64
  6. Step 6: Final answer
    x = 196,899.19

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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.