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Finding the Fourth Proportional to 71,428.83, 107,164.66 and 21,510.56

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Solution

The fourth proportional to 71,428.83, 107,164.66 and 21,510.56 is: 32,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.83 : 107,164.66 = 21,510.56 : x
  2. Step 2: Convert to fraction form
    71,428.83/107,164.66 = 21,510.56/x
  3. Step 3: Cross multiply
    71,428.83x = 107,164.66 × 21,510.56
  4. Step 4: Simplify right side
    71,428.83x = 2,305,171,312.99
  5. Step 5: Solve for x
    x = 2,305,171,312.99/71,428.83
  6. Step 6: Final answer
    x = 32,272.28

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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.