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Finding the Fourth Proportional to 71,480.36, 107,191.74 and 21,545

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Solution

The fourth proportional to 71,480.36, 107,191.74 and 21,545 is: 32,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480.36 : 107,191.74 = 21,545 : x
  2. Step 2: Convert to fraction form
    71,480.36/107,191.74 = 21,545/x
  3. Step 3: Cross multiply
    71,480.36x = 107,191.74 × 21,545
  4. Step 4: Simplify right side
    71,480.36x = 2,309,446,038.30
  5. Step 5: Solve for x
    x = 2,309,446,038.30/71,480.36
  6. Step 6: Final answer
    x = 32,308.82

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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.