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Finding the Fourth Proportional to 223,129.54, 307,829.46 and 142,536.16

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Solution

The fourth proportional to 223,129.54, 307,829.46 and 142,536.16 is: 196,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,129.54 : 307,829.46 = 142,536.16 : x
  2. Step 2: Convert to fraction form
    223,129.54/307,829.46 = 142,536.16/x
  3. Step 3: Cross multiply
    223,129.54x = 307,829.46 × 142,536.16
  4. Step 4: Simplify right side
    223,129.54x = 43,876,829,163.27
  5. Step 5: Solve for x
    x = 43,876,829,163.27/223,129.54
  6. Step 6: Final answer
    x = 196,642.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.