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Finding the Fourth Proportional to 51,511.80, 77,230.80 and 19,894.80

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Solution

The fourth proportional to 51,511.80, 77,230.80 and 19,894.80 is: 29,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,511.80 : 77,230.80 = 19,894.80 : x
  2. Step 2: Convert to fraction form
    51,511.80/77,230.80 = 19,894.80/x
  3. Step 3: Cross multiply
    51,511.80x = 77,230.80 × 19,894.80
  4. Step 4: Simplify right side
    51,511.80x = 1,536,491,319.84
  5. Step 5: Solve for x
    x = 1,536,491,319.84/51,511.80
  6. Step 6: Final answer
    x = 29,827.95

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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.