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Finding the Fourth Proportional to 71,069.31, 106,564.77 and 28,938.60

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Solution

The fourth proportional to 71,069.31, 106,564.77 and 28,938.60 is: 43,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.31 : 106,564.77 = 28,938.60 : x
  2. Step 2: Convert to fraction form
    71,069.31/106,564.77 = 28,938.60/x
  3. Step 3: Cross multiply
    71,069.31x = 106,564.77 × 28,938.60
  4. Step 4: Simplify right side
    71,069.31x = 3,083,835,253.12
  5. Step 5: Solve for x
    x = 3,083,835,253.12/71,069.31
  6. Step 6: Final answer
    x = 43,391.94

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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.