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Finding the Fourth Proportional to 75,376, 104,106.36 and 50,181.76

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Solution

The fourth proportional to 75,376, 104,106.36 and 50,181.76 is: 69,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,376 : 104,106.36 = 50,181.76 : x
  2. Step 2: Convert to fraction form
    75,376/104,106.36 = 50,181.76/x
  3. Step 3: Cross multiply
    75,376x = 104,106.36 × 50,181.76
  4. Step 4: Simplify right side
    75,376x = 5,224,240,371.99
  5. Step 5: Solve for x
    x = 5,224,240,371.99/75,376
  6. Step 6: Final answer
    x = 69,309.07

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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.