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Finding the Fourth Proportional to 128,909.75, 193,373.93 and 53,954.48

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Solution

The fourth proportional to 128,909.75, 193,373.93 and 53,954.48 is: 80,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909.75 : 193,373.93 = 53,954.48 : x
  2. Step 2: Convert to fraction form
    128,909.75/193,373.93 = 53,954.48/x
  3. Step 3: Cross multiply
    128,909.75x = 193,373.93 × 53,954.48
  4. Step 4: Simplify right side
    128,909.75x = 10,433,390,457.03
  5. Step 5: Solve for x
    x = 10,433,390,457.03/128,909.75
  6. Step 6: Final answer
    x = 80,935.62

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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.