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Finding the Fourth Proportional to 71,471.50, 98,628.14 and 39,643.36

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Solution

The fourth proportional to 71,471.50, 98,628.14 and 39,643.36 is: 54,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.50 : 98,628.14 = 39,643.36 : x
  2. Step 2: Convert to fraction form
    71,471.50/98,628.14 = 39,643.36/x
  3. Step 3: Cross multiply
    71,471.50x = 98,628.14 × 39,643.36
  4. Step 4: Simplify right side
    71,471.50x = 3,909,950,712.69
  5. Step 5: Solve for x
    x = 3,909,950,712.69/71,471.50
  6. Step 6: Final answer
    x = 54,706.43

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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.