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Finding the Fourth Proportional to 51,420, 70,965.44 and 29,065.44

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Solution

The fourth proportional to 51,420, 70,965.44 and 29,065.44 is: 40,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,420 : 70,965.44 = 29,065.44 : x
  2. Step 2: Convert to fraction form
    51,420/70,965.44 = 29,065.44/x
  3. Step 3: Cross multiply
    51,420x = 70,965.44 × 29,065.44
  4. Step 4: Simplify right side
    51,420x = 2,062,641,738.39
  5. Step 5: Solve for x
    x = 2,062,641,738.39/51,420
  6. Step 6: Final answer
    x = 40,113.61

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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.