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Finding the Fourth Proportional to 202,031.70, 302,917.95 and 83,750.10

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Solution

The fourth proportional to 202,031.70, 302,917.95 and 83,750.10 is: 125,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,031.70 : 302,917.95 = 83,750.10 : x
  2. Step 2: Convert to fraction form
    202,031.70/302,917.95 = 83,750.10/x
  3. Step 3: Cross multiply
    202,031.70x = 302,917.95 × 83,750.10
  4. Step 4: Simplify right side
    202,031.70x = 25,369,408,604.30
  5. Step 5: Solve for x
    x = 25,369,408,604.30/202,031.70
  6. Step 6: Final answer
    x = 125,571.43

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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.