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Finding the Fourth Proportional to 128,914.86, 193,174.48 and 53,994

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Solution

The fourth proportional to 128,914.86, 193,174.48 and 53,994 is: 80,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,914.86 : 193,174.48 = 53,994 : x
  2. Step 2: Convert to fraction form
    128,914.86/193,174.48 = 53,994/x
  3. Step 3: Cross multiply
    128,914.86x = 193,174.48 × 53,994
  4. Step 4: Simplify right side
    128,914.86x = 10,430,262,873.12
  5. Step 5: Solve for x
    x = 10,430,262,873.12/128,914.86
  6. Step 6: Final answer
    x = 80,908.15

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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.