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Finding the Fourth Proportional to 71,504.96, 107,258.20 and 21,585.47

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Solution

The fourth proportional to 71,504.96, 107,258.20 and 21,585.47 is: 32,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,504.96 : 107,258.20 = 21,585.47 : x
  2. Step 2: Convert to fraction form
    71,504.96/107,258.20 = 21,585.47/x
  3. Step 3: Cross multiply
    71,504.96x = 107,258.20 × 21,585.47
  4. Step 4: Simplify right side
    71,504.96x = 2,315,218,068.10
  5. Step 5: Solve for x
    x = 2,315,218,068.10/71,504.96
  6. Step 6: Final answer
    x = 32,378.43

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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.