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Finding the Fourth Proportional to 47,987.94, 72,020.40 and 21,694.95

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Solution

The fourth proportional to 47,987.94, 72,020.40 and 21,694.95 is: 32,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987.94 : 72,020.40 = 21,694.95 : x
  2. Step 2: Convert to fraction form
    47,987.94/72,020.40 = 21,694.95/x
  3. Step 3: Cross multiply
    47,987.94x = 72,020.40 × 21,694.95
  4. Step 4: Simplify right side
    47,987.94x = 1,562,478,976.98
  5. Step 5: Solve for x
    x = 1,562,478,976.98/47,987.94
  6. Step 6: Final answer
    x = 32,559.83

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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.