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Finding the Fourth Proportional to 82,758.70, 114,189.60 and 54,120.34

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Solution

The fourth proportional to 82,758.70, 114,189.60 and 54,120.34 is: 74,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,758.70 : 114,189.60 = 54,120.34 : x
  2. Step 2: Convert to fraction form
    82,758.70/114,189.60 = 54,120.34/x
  3. Step 3: Cross multiply
    82,758.70x = 114,189.60 × 54,120.34
  4. Step 4: Simplify right side
    82,758.70x = 6,179,979,976.46
  5. Step 5: Solve for x
    x = 6,179,979,976.46/82,758.70
  6. Step 6: Final answer
    x = 74,674.69

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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.