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Finding the Fourth Proportional to 52,471.88, 78,709.74 and 21,306.44

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Solution

The fourth proportional to 52,471.88, 78,709.74 and 21,306.44 is: 31,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.88 : 78,709.74 = 21,306.44 : x
  2. Step 2: Convert to fraction form
    52,471.88/78,709.74 = 21,306.44/x
  3. Step 3: Cross multiply
    52,471.88x = 78,709.74 × 21,306.44
  4. Step 4: Simplify right side
    52,471.88x = 1,677,024,352.73
  5. Step 5: Solve for x
    x = 1,677,024,352.73/52,471.88
  6. Step 6: Final answer
    x = 31,960.44

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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.