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Finding the Fourth Proportional to 51,457.72, 77,223.48 and 21,896.32

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Solution

The fourth proportional to 51,457.72, 77,223.48 and 21,896.32 is: 32,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457.72 : 77,223.48 = 21,896.32 : x
  2. Step 2: Convert to fraction form
    51,457.72/77,223.48 = 21,896.32/x
  3. Step 3: Cross multiply
    51,457.72x = 77,223.48 × 21,896.32
  4. Step 4: Simplify right side
    51,457.72x = 1,690,910,029.59
  5. Step 5: Solve for x
    x = 1,690,910,029.59/51,457.72
  6. Step 6: Final answer
    x = 32,860.18

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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.