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Finding the Fourth Proportional to 71,265.34, 106,867.90 and 21,352.51

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Solution

The fourth proportional to 71,265.34, 106,867.90 and 21,352.51 is: 32,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.34 : 106,867.90 = 21,352.51 : x
  2. Step 2: Convert to fraction form
    71,265.34/106,867.90 = 21,352.51/x
  3. Step 3: Cross multiply
    71,265.34x = 106,867.90 × 21,352.51
  4. Step 4: Simplify right side
    71,265.34x = 2,281,897,903.43
  5. Step 5: Solve for x
    x = 2,281,897,903.43/71,265.34
  6. Step 6: Final answer
    x = 32,019.74

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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.