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Finding the Fourth Proportional to 51,880.60, 77,820.90 and 16,823.80

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Solution

The fourth proportional to 51,880.60, 77,820.90 and 16,823.80 is: 25,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.60 : 77,820.90 = 16,823.80 : x
  2. Step 2: Convert to fraction form
    51,880.60/77,820.90 = 16,823.80/x
  3. Step 3: Cross multiply
    51,880.60x = 77,820.90 × 16,823.80
  4. Step 4: Simplify right side
    51,880.60x = 1,309,243,257.42
  5. Step 5: Solve for x
    x = 1,309,243,257.42/51,880.60
  6. Step 6: Final answer
    x = 25,235.70

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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.