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Finding the Fourth Proportional to 79,744.32, 109,918.87 and 53,894.77

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Solution

The fourth proportional to 79,744.32, 109,918.87 and 53,894.77 is: 74,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,744.32 : 109,918.87 = 53,894.77 : x
  2. Step 2: Convert to fraction form
    79,744.32/109,918.87 = 53,894.77/x
  3. Step 3: Cross multiply
    79,744.32x = 109,918.87 × 53,894.77
  4. Step 4: Simplify right side
    79,744.32x = 5,924,052,217.31
  5. Step 5: Solve for x
    x = 5,924,052,217.31/79,744.32
  6. Step 6: Final answer
    x = 74,288.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.