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Finding the Fourth Proportional to 71,139.34, 106,686.09 and 39,564.46

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Solution

The fourth proportional to 71,139.34, 106,686.09 and 39,564.46 is: 59,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139.34 : 106,686.09 = 39,564.46 : x
  2. Step 2: Convert to fraction form
    71,139.34/106,686.09 = 39,564.46/x
  3. Step 3: Cross multiply
    71,139.34x = 106,686.09 × 39,564.46
  4. Step 4: Simplify right side
    71,139.34x = 4,220,977,540.36
  5. Step 5: Solve for x
    x = 4,220,977,540.36/71,139.34
  6. Step 6: Final answer
    x = 59,333.94

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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.