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Finding the Fourth Proportional to 176,197.72, 242,884.26 and 138,406.36

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Solution

The fourth proportional to 176,197.72, 242,884.26 and 138,406.36 is: 190,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,197.72 : 242,884.26 = 138,406.36 : x
  2. Step 2: Convert to fraction form
    176,197.72/242,884.26 = 138,406.36/x
  3. Step 3: Cross multiply
    176,197.72x = 242,884.26 × 138,406.36
  4. Step 4: Simplify right side
    176,197.72x = 33,616,726,327.89
  5. Step 5: Solve for x
    x = 33,616,726,327.89/176,197.72
  6. Step 6: Final answer
    x = 190,789.79

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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.