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Finding the Fourth Proportional to 71,071.21, 106,606.29 and 28,941.39

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Solution

The fourth proportional to 71,071.21, 106,606.29 and 28,941.39 is: 43,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.21 : 106,606.29 = 28,941.39 : x
  2. Step 2: Convert to fraction form
    71,071.21/106,606.29 = 28,941.39/x
  3. Step 3: Cross multiply
    71,071.21x = 106,606.29 × 28,941.39
  4. Step 4: Simplify right side
    71,071.21x = 3,085,334,323.87
  5. Step 5: Solve for x
    x = 3,085,334,323.87/71,071.21
  6. Step 6: Final answer
    x = 43,411.87

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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.