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Finding the Fourth Proportional to 51,809, 71,496.42 and 29,457.32

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Solution

The fourth proportional to 51,809, 71,496.42 and 29,457.32 is: 40,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809 : 71,496.42 = 29,457.32 : x
  2. Step 2: Convert to fraction form
    51,809/71,496.42 = 29,457.32/x
  3. Step 3: Cross multiply
    51,809x = 71,496.42 × 29,457.32
  4. Step 4: Simplify right side
    51,809x = 2,106,092,922.79
  5. Step 5: Solve for x
    x = 2,106,092,922.79/51,809
  6. Step 6: Final answer
    x = 40,651.10

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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.