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Finding the Fourth Proportional to 51,588, 71,191.44 and 30,380.40

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Solution

The fourth proportional to 51,588, 71,191.44 and 30,380.40 is: 41,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588 : 71,191.44 = 30,380.40 : x
  2. Step 2: Convert to fraction form
    51,588/71,191.44 = 30,380.40/x
  3. Step 3: Cross multiply
    51,588x = 71,191.44 × 30,380.40
  4. Step 4: Simplify right side
    51,588x = 2,162,824,423.78
  5. Step 5: Solve for x
    x = 2,162,824,423.78/51,588
  6. Step 6: Final answer
    x = 41,924.95

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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.