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Finding the Fourth Proportional to 71,615.53, 107,363.15 and 31,628.06

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Solution

The fourth proportional to 71,615.53, 107,363.15 and 31,628.06 is: 47,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,615.53 : 107,363.15 = 31,628.06 : x
  2. Step 2: Convert to fraction form
    71,615.53/107,363.15 = 31,628.06/x
  3. Step 3: Cross multiply
    71,615.53x = 107,363.15 × 31,628.06
  4. Step 4: Simplify right side
    71,615.53x = 3,395,688,149.99
  5. Step 5: Solve for x
    x = 3,395,688,149.99/71,615.53
  6. Step 6: Final answer
    x = 47,415.53

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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.