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Finding the Fourth Proportional to 100,381.35, 138,526.97 and 55,059.67

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Solution

The fourth proportional to 100,381.35, 138,526.97 and 55,059.67 is: 75,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,381.35 : 138,526.97 = 55,059.67 : x
  2. Step 2: Convert to fraction form
    100,381.35/138,526.97 = 55,059.67/x
  3. Step 3: Cross multiply
    100,381.35x = 138,526.97 × 55,059.67
  4. Step 4: Simplify right side
    100,381.35x = 7,627,249,254.30
  5. Step 5: Solve for x
    x = 7,627,249,254.30/100,381.35
  6. Step 6: Final answer
    x = 75,982.73

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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.