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Finding the Fourth Proportional to 83,030.50, 114,581.48 and 47,220.47

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Solution

The fourth proportional to 83,030.50, 114,581.48 and 47,220.47 is: 65,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.50 : 114,581.48 = 47,220.47 : x
  2. Step 2: Convert to fraction form
    83,030.50/114,581.48 = 47,220.47/x
  3. Step 3: Cross multiply
    83,030.50x = 114,581.48 × 47,220.47
  4. Step 4: Simplify right side
    83,030.50x = 5,410,591,338.90
  5. Step 5: Solve for x
    x = 5,410,591,338.90/83,030.50
  6. Step 6: Final answer
    x = 65,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.