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Finding the Fourth Proportional to 128,650.32, 193,051.44 and 71,772

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Solution

The fourth proportional to 128,650.32, 193,051.44 and 71,772 is: 107,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,650.32 : 193,051.44 = 71,772 : x
  2. Step 2: Convert to fraction form
    128,650.32/193,051.44 = 71,772/x
  3. Step 3: Cross multiply
    128,650.32x = 193,051.44 × 71,772
  4. Step 4: Simplify right side
    128,650.32x = 13,855,687,951.68
  5. Step 5: Solve for x
    x = 13,855,687,951.68/128,650.32
  6. Step 6: Final answer
    x = 107,700.38

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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.