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Finding the Fourth Proportional to 51,641.74, 71,270.31 and 31,499.74

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Solution

The fourth proportional to 51,641.74, 71,270.31 and 31,499.74 is: 43,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.74 : 71,270.31 = 31,499.74 : x
  2. Step 2: Convert to fraction form
    51,641.74/71,270.31 = 31,499.74/x
  3. Step 3: Cross multiply
    51,641.74x = 71,270.31 × 31,499.74
  4. Step 4: Simplify right side
    51,641.74x = 2,244,996,234.72
  5. Step 5: Solve for x
    x = 2,244,996,234.72/51,641.74
  6. Step 6: Final answer
    x = 43,472.51

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1.5x scale

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.