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Finding the Fourth Proportional to 47,381.82, 71,071.74 and 19,300.74

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Solution

The fourth proportional to 47,381.82, 71,071.74 and 19,300.74 is: 28,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.82 : 71,071.74 = 19,300.74 : x
  2. Step 2: Convert to fraction form
    47,381.82/71,071.74 = 19,300.74/x
  3. Step 3: Cross multiply
    47,381.82x = 71,071.74 × 19,300.74
  4. Step 4: Simplify right side
    47,381.82x = 1,371,737,175.09
  5. Step 5: Solve for x
    x = 1,371,737,175.09/47,381.82
  6. Step 6: Final answer
    x = 28,950.71

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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.