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Finding the Fourth Proportional to 50,819, 70,130.22 and 28,463

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Solution

The fourth proportional to 50,819, 70,130.22 and 28,463 is: 39,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,819 : 70,130.22 = 28,463 : x
  2. Step 2: Convert to fraction form
    50,819/70,130.22 = 28,463/x
  3. Step 3: Cross multiply
    50,819x = 70,130.22 × 28,463
  4. Step 4: Simplify right side
    50,819x = 1,996,116,451.86
  5. Step 5: Solve for x
    x = 1,996,116,451.86/50,819
  6. Step 6: Final answer
    x = 39,278.94

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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.