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Finding the Fourth Proportional to 82,919.50, 114,428.81 and 45,193.75

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Solution

The fourth proportional to 82,919.50, 114,428.81 and 45,193.75 is: 62,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,919.50 : 114,428.81 = 45,193.75 : x
  2. Step 2: Convert to fraction form
    82,919.50/114,428.81 = 45,193.75/x
  3. Step 3: Cross multiply
    82,919.50x = 114,428.81 × 45,193.75
  4. Step 4: Simplify right side
    82,919.50x = 5,171,467,031.94
  5. Step 5: Solve for x
    x = 5,171,467,031.94/82,919.50
  6. Step 6: Final answer
    x = 62,367.32

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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.