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Finding the Fourth Proportional to 138,924.40, 208,079.40 and 83,628.40

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Solution

The fourth proportional to 138,924.40, 208,079.40 and 83,628.40 is: 125,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.40 : 208,079.40 = 83,628.40 : x
  2. Step 2: Convert to fraction form
    138,924.40/208,079.40 = 83,628.40/x
  3. Step 3: Cross multiply
    138,924.40x = 208,079.40 × 83,628.40
  4. Step 4: Simplify right side
    138,924.40x = 17,401,347,294.96
  5. Step 5: Solve for x
    x = 17,401,347,294.96/138,924.40
  6. Step 6: Final answer
    x = 125,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.