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Finding the Fourth Proportional to 100,243, 138,335.34 and 59,958.46

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Solution

The fourth proportional to 100,243, 138,335.34 and 59,958.46 is: 82,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,243 : 138,335.34 = 59,958.46 : x
  2. Step 2: Convert to fraction form
    100,243/138,335.34 = 59,958.46/x
  3. Step 3: Cross multiply
    100,243x = 138,335.34 × 59,958.46
  4. Step 4: Simplify right side
    100,243x = 8,294,373,949.98
  5. Step 5: Solve for x
    x = 8,294,373,949.98/100,243
  6. Step 6: Final answer
    x = 82,742.67

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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.