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Finding the Fourth Proportional to 51,109, 70,519.80 and 29,884.16

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Solution

The fourth proportional to 51,109, 70,519.80 and 29,884.16 is: 41,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,109 : 70,519.80 = 29,884.16 : x
  2. Step 2: Convert to fraction form
    51,109/70,519.80 = 29,884.16/x
  3. Step 3: Cross multiply
    51,109x = 70,519.80 × 29,884.16
  4. Step 4: Simplify right side
    51,109x = 2,107,424,986.37
  5. Step 5: Solve for x
    x = 2,107,424,986.37/51,109
  6. Step 6: Final answer
    x = 41,233.93

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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.