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Finding the Fourth Proportional to 47,484.84, 71,219.94 and 19,403.88

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Solution

The fourth proportional to 47,484.84, 71,219.94 and 19,403.88 is: 29,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,484.84 : 71,219.94 = 19,403.88 : x
  2. Step 2: Convert to fraction form
    47,484.84/71,219.94 = 19,403.88/x
  3. Step 3: Cross multiply
    47,484.84x = 71,219.94 × 19,403.88
  4. Step 4: Simplify right side
    47,484.84x = 1,381,943,169.37
  5. Step 5: Solve for x
    x = 1,381,943,169.37/47,484.84
  6. Step 6: Final answer
    x = 29,102.83

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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.