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Finding the Fourth Proportional to 57,812.32, 79,837.68 and 49,379.68

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Solution

The fourth proportional to 57,812.32, 79,837.68 and 49,379.68 is: 68,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,812.32 : 79,837.68 = 49,379.68 : x
  2. Step 2: Convert to fraction form
    57,812.32/79,837.68 = 49,379.68/x
  3. Step 3: Cross multiply
    57,812.32x = 79,837.68 × 49,379.68
  4. Step 4: Simplify right side
    57,812.32x = 3,942,359,090.34
  5. Step 5: Solve for x
    x = 3,942,359,090.34/57,812.32
  6. Step 6: Final answer
    x = 68,192.37

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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.