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Finding the Fourth Proportional to 128,954.81, 193,370.02 and 54,054.86

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Solution

The fourth proportional to 128,954.81, 193,370.02 and 54,054.86 is: 81,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954.81 : 193,370.02 = 54,054.86 : x
  2. Step 2: Convert to fraction form
    128,954.81/193,370.02 = 54,054.86/x
  3. Step 3: Cross multiply
    128,954.81x = 193,370.02 × 54,054.86
  4. Step 4: Simplify right side
    128,954.81x = 10,452,588,257.31
  5. Step 5: Solve for x
    x = 10,452,588,257.31/128,954.81
  6. Step 6: Final answer
    x = 81,056.21

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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.