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Finding the Fourth Proportional to 76,165.31, 114,247.97 and 20,761.31

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Solution

The fourth proportional to 76,165.31, 114,247.97 and 20,761.31 is: 31,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165.31 : 114,247.97 = 20,761.31 : x
  2. Step 2: Convert to fraction form
    76,165.31/114,247.97 = 20,761.31/x
  3. Step 3: Cross multiply
    76,165.31x = 114,247.97 × 20,761.31
  4. Step 4: Simplify right side
    76,165.31x = 2,371,937,781.71
  5. Step 5: Solve for x
    x = 2,371,937,781.71/76,165.31
  6. Step 6: Final answer
    x = 31,141.97

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1.5x scale

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.