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Finding the Fourth Proportional to 57,034.99, 78,708 and 31,884.49

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Solution

The fourth proportional to 57,034.99, 78,708 and 31,884.49 is: 44,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.99 : 78,708 = 31,884.49 : x
  2. Step 2: Convert to fraction form
    57,034.99/78,708 = 31,884.49/x
  3. Step 3: Cross multiply
    57,034.99x = 78,708 × 31,884.49
  4. Step 4: Simplify right side
    57,034.99x = 2,509,564,438.92
  5. Step 5: Solve for x
    x = 2,509,564,438.92/57,034.99
  6. Step 6: Final answer
    x = 44,000.44

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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.