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Finding the Fourth Proportional to 71,628.88, 98,849.64 and 39,800.80

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Solution

The fourth proportional to 71,628.88, 98,849.64 and 39,800.80 is: 54,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628.88 : 98,849.64 = 39,800.80 : x
  2. Step 2: Convert to fraction form
    71,628.88/98,849.64 = 39,800.80/x
  3. Step 3: Cross multiply
    71,628.88x = 98,849.64 × 39,800.80
  4. Step 4: Simplify right side
    71,628.88x = 3,934,294,751.71
  5. Step 5: Solve for x
    x = 3,934,294,751.71/71,628.88
  6. Step 6: Final answer
    x = 54,926.10

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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.