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Finding the Fourth Proportional to 138,675.12, 191,357.28 and 78,249.12

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Solution

The fourth proportional to 138,675.12, 191,357.28 and 78,249.12 is: 107,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,675.12 : 191,357.28 = 78,249.12 : x
  2. Step 2: Convert to fraction form
    138,675.12/191,357.28 = 78,249.12/x
  3. Step 3: Cross multiply
    138,675.12x = 191,357.28 × 78,249.12
  4. Step 4: Simplify right side
    138,675.12x = 14,973,538,765.59
  5. Step 5: Solve for x
    x = 14,973,538,765.59/138,675.12
  6. Step 6: Final answer
    x = 107,975.67

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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.