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Finding the Fourth Proportional to 101,471.31, 152,208.78 and 31,350

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Solution

The fourth proportional to 101,471.31, 152,208.78 and 31,350 is: 47,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.31 : 152,208.78 = 31,350 : x
  2. Step 2: Convert to fraction form
    101,471.31/152,208.78 = 31,350/x
  3. Step 3: Cross multiply
    101,471.31x = 152,208.78 × 31,350
  4. Step 4: Simplify right side
    101,471.31x = 4,771,745,253
  5. Step 5: Solve for x
    x = 4,771,745,253/101,471.31
  6. Step 6: Final answer
    x = 47,025.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.