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Finding the Fourth Proportional to 51,379.75, 77,082.59 and 14,443.75

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Solution

The fourth proportional to 51,379.75, 77,082.59 and 14,443.75 is: 21,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,379.75 : 77,082.59 = 14,443.75 : x
  2. Step 2: Convert to fraction form
    51,379.75/77,082.59 = 14,443.75/x
  3. Step 3: Cross multiply
    51,379.75x = 77,082.59 × 14,443.75
  4. Step 4: Simplify right side
    51,379.75x = 1,113,361,659.31
  5. Step 5: Solve for x
    x = 1,113,361,659.31/51,379.75
  6. Step 6: Final answer
    x = 21,669.27

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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.