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Finding the Fourth Proportional to 47,489.76, 71,259.03 and 21,211.74

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Solution

The fourth proportional to 47,489.76, 71,259.03 and 21,211.74 is: 31,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489.76 : 71,259.03 = 21,211.74 : x
  2. Step 2: Convert to fraction form
    47,489.76/71,259.03 = 21,211.74/x
  3. Step 3: Cross multiply
    47,489.76x = 71,259.03 × 21,211.74
  4. Step 4: Simplify right side
    47,489.76x = 1,511,528,017.01
  5. Step 5: Solve for x
    x = 1,511,528,017.01/47,489.76
  6. Step 6: Final answer
    x = 31,828.50

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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.