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Finding the Fourth Proportional to 71,628.40, 98,836.20 and 41,407.84

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Solution

The fourth proportional to 71,628.40, 98,836.20 and 41,407.84 is: 57,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628.40 : 98,836.20 = 41,407.84 : x
  2. Step 2: Convert to fraction form
    71,628.40/98,836.20 = 41,407.84/x
  3. Step 3: Cross multiply
    71,628.40x = 98,836.20 × 41,407.84
  4. Step 4: Simplify right side
    71,628.40x = 4,092,593,555.81
  5. Step 5: Solve for x
    x = 4,092,593,555.81/71,628.40
  6. Step 6: Final answer
    x = 57,136.46

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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.