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Finding the Fourth Proportional to 51,927.50, 71,665.01 and 30,713.60

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Solution

The fourth proportional to 51,927.50, 71,665.01 and 30,713.60 is: 42,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927.50 : 71,665.01 = 30,713.60 : x
  2. Step 2: Convert to fraction form
    51,927.50/71,665.01 = 30,713.60/x
  3. Step 3: Cross multiply
    51,927.50x = 71,665.01 × 30,713.60
  4. Step 4: Simplify right side
    51,927.50x = 2,201,090,118.41
  5. Step 5: Solve for x
    x = 2,201,090,118.41/51,927.50
  6. Step 6: Final answer
    x = 42,387.76

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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.