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Finding the Fourth Proportional to 71,648.96, 106,947.53 and 66,371

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Solution

The fourth proportional to 71,648.96, 106,947.53 and 66,371 is: 99,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.96 : 106,947.53 = 66,371 : x
  2. Step 2: Convert to fraction form
    71,648.96/106,947.53 = 66,371/x
  3. Step 3: Cross multiply
    71,648.96x = 106,947.53 × 66,371
  4. Step 4: Simplify right side
    71,648.96x = 7,098,214,513.63
  5. Step 5: Solve for x
    x = 7,098,214,513.63/71,648.96
  6. Step 6: Final answer
    x = 99,069.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.