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Finding the Fourth Proportional to 51,478.71, 71,003.99 and 47,243.44

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Solution

The fourth proportional to 51,478.71, 71,003.99 and 47,243.44 is: 65,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.71 : 71,003.99 = 47,243.44 : x
  2. Step 2: Convert to fraction form
    51,478.71/71,003.99 = 47,243.44/x
  3. Step 3: Cross multiply
    51,478.71x = 71,003.99 × 47,243.44
  4. Step 4: Simplify right side
    51,478.71x = 3,354,472,948.19
  5. Step 5: Solve for x
    x = 3,354,472,948.19/51,478.71
  6. Step 6: Final answer
    x = 65,162.34

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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.