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Finding the Fourth Proportional to 57,105, 78,786.68 and 36,977.31

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Solution

The fourth proportional to 57,105, 78,786.68 and 36,977.31 is: 51,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105 : 78,786.68 = 36,977.31 : x
  2. Step 2: Convert to fraction form
    57,105/78,786.68 = 36,977.31/x
  3. Step 3: Cross multiply
    57,105x = 78,786.68 × 36,977.31
  4. Step 4: Simplify right side
    57,105x = 2,913,319,305.34
  5. Step 5: Solve for x
    x = 2,913,319,305.34/57,105
  6. Step 6: Final answer
    x = 51,016.89

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1.5x scale

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.