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Finding the Fourth Proportional to 128,651.32, 193,052.94 and 71,773

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Solution

The fourth proportional to 128,651.32, 193,052.94 and 71,773 is: 107,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,651.32 : 193,052.94 = 71,773 : x
  2. Step 2: Convert to fraction form
    128,651.32/193,052.94 = 71,773/x
  3. Step 3: Cross multiply
    128,651.32x = 193,052.94 × 71,773
  4. Step 4: Simplify right side
    128,651.32x = 13,855,988,662.62
  5. Step 5: Solve for x
    x = 13,855,988,662.62/128,651.32
  6. Step 6: Final answer
    x = 107,701.88

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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.