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Finding the Fourth Proportional to 49,519, 74,281.74 and 21,817

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Solution

The fourth proportional to 49,519, 74,281.74 and 21,817 is: 32,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,519 : 74,281.74 = 21,817 : x
  2. Step 2: Convert to fraction form
    49,519/74,281.74 = 21,817/x
  3. Step 3: Cross multiply
    49,519x = 74,281.74 × 21,817
  4. Step 4: Simplify right side
    49,519x = 1,620,604,721.58
  5. Step 5: Solve for x
    x = 1,620,604,721.58/49,519
  6. Step 6: Final answer
    x = 32,726.93

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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.