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Finding the Fourth Proportional to 51,406.60, 77,081.10 and 21,819.40

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Solution

The fourth proportional to 51,406.60, 77,081.10 and 21,819.40 is: 32,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,406.60 : 77,081.10 = 21,819.40 : x
  2. Step 2: Convert to fraction form
    51,406.60/77,081.10 = 21,819.40/x
  3. Step 3: Cross multiply
    51,406.60x = 77,081.10 × 21,819.40
  4. Step 4: Simplify right side
    51,406.60x = 1,681,863,353.34
  5. Step 5: Solve for x
    x = 1,681,863,353.34/51,406.60
  6. Step 6: Final answer
    x = 32,716.88

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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.