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Finding the Fourth Proportional to 128,709.48, 193,016.86 and 44,448.20

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Solution

The fourth proportional to 128,709.48, 193,016.86 and 44,448.20 is: 66,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,709.48 : 193,016.86 = 44,448.20 : x
  2. Step 2: Convert to fraction form
    128,709.48/193,016.86 = 44,448.20/x
  3. Step 3: Cross multiply
    128,709.48x = 193,016.86 × 44,448.20
  4. Step 4: Simplify right side
    128,709.48x = 8,579,251,996.65
  5. Step 5: Solve for x
    x = 8,579,251,996.65/128,709.48
  6. Step 6: Final answer
    x = 66,655.94

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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.