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Finding the Fourth Proportional to 76,257.56, 114,384.72 and 20,853.56

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Solution

The fourth proportional to 76,257.56, 114,384.72 and 20,853.56 is: 31,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,257.56 : 114,384.72 = 20,853.56 : x
  2. Step 2: Convert to fraction form
    76,257.56/114,384.72 = 20,853.56/x
  3. Step 3: Cross multiply
    76,257.56x = 114,384.72 × 20,853.56
  4. Step 4: Simplify right side
    76,257.56x = 2,385,328,621.60
  5. Step 5: Solve for x
    x = 2,385,328,621.60/76,257.56
  6. Step 6: Final answer
    x = 31,279.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.