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Finding the Fourth Proportional to 77,944.43, 107,538.80 and 47,698.22

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Solution

The fourth proportional to 77,944.43, 107,538.80 and 47,698.22 is: 65,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,944.43 : 107,538.80 = 47,698.22 : x
  2. Step 2: Convert to fraction form
    77,944.43/107,538.80 = 47,698.22/x
  3. Step 3: Cross multiply
    77,944.43x = 107,538.80 × 47,698.22
  4. Step 4: Simplify right side
    77,944.43x = 5,129,408,564.75
  5. Step 5: Solve for x
    x = 5,129,408,564.75/77,944.43
  6. Step 6: Final answer
    x = 65,808.54

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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.