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Finding the Fourth Proportional to 78,107.78, 107,805.53 and 50,917.84

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Solution

The fourth proportional to 78,107.78, 107,805.53 and 50,917.84 is: 70,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.78 : 107,805.53 = 50,917.84 : x
  2. Step 2: Convert to fraction form
    78,107.78/107,805.53 = 50,917.84/x
  3. Step 3: Cross multiply
    78,107.78x = 107,805.53 × 50,917.84
  4. Step 4: Simplify right side
    78,107.78x = 5,489,224,727.66
  5. Step 5: Solve for x
    x = 5,489,224,727.66/78,107.78
  6. Step 6: Final answer
    x = 70,277.57

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1.5x scale

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.