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Finding the Fourth Proportional to 51,396, 70,934.04 and 30,186.96

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Solution

The fourth proportional to 51,396, 70,934.04 and 30,186.96 is: 41,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,396 : 70,934.04 = 30,186.96 : x
  2. Step 2: Convert to fraction form
    51,396/70,934.04 = 30,186.96/x
  3. Step 3: Cross multiply
    51,396x = 70,934.04 × 30,186.96
  4. Step 4: Simplify right side
    51,396x = 2,141,283,028.12
  5. Step 5: Solve for x
    x = 2,141,283,028.12/51,396
  6. Step 6: Final answer
    x = 41,662.45

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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.