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Finding the Fourth Proportional to 71,074.34, 106,605.32 and 28,958.86

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Solution

The fourth proportional to 71,074.34, 106,605.32 and 28,958.86 is: 43,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,074.34 : 106,605.32 = 28,958.86 : x
  2. Step 2: Convert to fraction form
    71,074.34/106,605.32 = 28,958.86/x
  3. Step 3: Cross multiply
    71,074.34x = 106,605.32 × 28,958.86
  4. Step 4: Simplify right side
    71,074.34x = 3,087,168,343.02
  5. Step 5: Solve for x
    x = 3,087,168,343.02/71,074.34
  6. Step 6: Final answer
    x = 43,435.77

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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.