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Finding the Fourth Proportional to 74,675, 103,051.07 and 40,683.42

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Solution

The fourth proportional to 74,675, 103,051.07 and 40,683.42 is: 56,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,675 : 103,051.07 = 40,683.42 : x
  2. Step 2: Convert to fraction form
    74,675/103,051.07 = 40,683.42/x
  3. Step 3: Cross multiply
    74,675x = 103,051.07 × 40,683.42
  4. Step 4: Simplify right side
    74,675x = 4,192,469,962.26
  5. Step 5: Solve for x
    x = 4,192,469,962.26/74,675
  6. Step 6: Final answer
    x = 56,142.89

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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.