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Finding the Fourth Proportional to 51,651, 71,287.02 and 29,307.96

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Solution

The fourth proportional to 51,651, 71,287.02 and 29,307.96 is: 40,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651 : 71,287.02 = 29,307.96 : x
  2. Step 2: Convert to fraction form
    51,651/71,287.02 = 29,307.96/x
  3. Step 3: Cross multiply
    51,651x = 71,287.02 × 29,307.96
  4. Step 4: Simplify right side
    51,651x = 2,089,277,130.68
  5. Step 5: Solve for x
    x = 2,089,277,130.68/51,651
  6. Step 6: Final answer
    x = 40,449.89

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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.