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Finding the Fourth Proportional to 57,305.34, 79,078.95 and 31,809.78

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Solution

The fourth proportional to 57,305.34, 79,078.95 and 31,809.78 is: 43,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305.34 : 79,078.95 = 31,809.78 : x
  2. Step 2: Convert to fraction form
    57,305.34/79,078.95 = 31,809.78/x
  3. Step 3: Cross multiply
    57,305.34x = 79,078.95 × 31,809.78
  4. Step 4: Simplify right side
    57,305.34x = 2,515,484,002.13
  5. Step 5: Solve for x
    x = 2,515,484,002.13/57,305.34
  6. Step 6: Final answer
    x = 43,896.15

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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.