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Finding the Fourth Proportional to 71,368.80, 107,069.40 and 41,771.40

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Solution

The fourth proportional to 71,368.80, 107,069.40 and 41,771.40 is: 62,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.80 : 107,069.40 = 41,771.40 : x
  2. Step 2: Convert to fraction form
    71,368.80/107,069.40 = 41,771.40/x
  3. Step 3: Cross multiply
    71,368.80x = 107,069.40 × 41,771.40
  4. Step 4: Simplify right side
    71,368.80x = 4,472,438,735.16
  5. Step 5: Solve for x
    x = 4,472,438,735.16/71,368.80
  6. Step 6: Final answer
    x = 62,666.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.