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Finding the Fourth Proportional to 57,178.86, 78,921.59 and 34,519.11

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Solution

The fourth proportional to 57,178.86, 78,921.59 and 34,519.11 is: 47,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.86 : 78,921.59 = 34,519.11 : x
  2. Step 2: Convert to fraction form
    57,178.86/78,921.59 = 34,519.11/x
  3. Step 3: Cross multiply
    57,178.86x = 78,921.59 × 34,519.11
  4. Step 4: Simplify right side
    57,178.86x = 2,724,302,873.99
  5. Step 5: Solve for x
    x = 2,724,302,873.99/57,178.86
  6. Step 6: Final answer
    x = 47,645.28

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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.