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Finding the Fourth Proportional to 71,214, 98,283.96 and 41,406

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Solution

The fourth proportional to 71,214, 98,283.96 and 41,406 is: 57,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214 : 98,283.96 = 41,406 : x
  2. Step 2: Convert to fraction form
    71,214/98,283.96 = 41,406/x
  3. Step 3: Cross multiply
    71,214x = 98,283.96 × 41,406
  4. Step 4: Simplify right side
    71,214x = 4,069,545,647.76
  5. Step 5: Solve for x
    x = 4,069,545,647.76/71,214
  6. Step 6: Final answer
    x = 57,145.30

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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.