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Finding the Fourth Proportional to 51,812.31, 71,500.99 and 29,456.31

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Solution

The fourth proportional to 51,812.31, 71,500.99 and 29,456.31 is: 40,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.31 : 71,500.99 = 29,456.31 : x
  2. Step 2: Convert to fraction form
    51,812.31/71,500.99 = 29,456.31/x
  3. Step 3: Cross multiply
    51,812.31x = 71,500.99 × 29,456.31
  4. Step 4: Simplify right side
    51,812.31x = 2,106,155,326.75
  5. Step 5: Solve for x
    x = 2,106,155,326.75/51,812.31
  6. Step 6: Final answer
    x = 40,649.71

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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.