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Finding the Fourth Proportional to 71,638.60, 107,458.80 and 21,719.20

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Solution

The fourth proportional to 71,638.60, 107,458.80 and 21,719.20 is: 32,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.60 : 107,458.80 = 21,719.20 : x
  2. Step 2: Convert to fraction form
    71,638.60/107,458.80 = 21,719.20/x
  3. Step 3: Cross multiply
    71,638.60x = 107,458.80 × 21,719.20
  4. Step 4: Simplify right side
    71,638.60x = 2,333,919,168.96
  5. Step 5: Solve for x
    x = 2,333,919,168.96/71,638.60
  6. Step 6: Final answer
    x = 32,579.07

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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.