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Finding the Fourth Proportional to 57,213, 85,825.44 and 15,660

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Solution

The fourth proportional to 57,213, 85,825.44 and 15,660 is: 23,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213 : 85,825.44 = 15,660 : x
  2. Step 2: Convert to fraction form
    57,213/85,825.44 = 15,660/x
  3. Step 3: Cross multiply
    57,213x = 85,825.44 × 15,660
  4. Step 4: Simplify right side
    57,213x = 1,344,026,390.40
  5. Step 5: Solve for x
    x = 1,344,026,390.40/57,213
  6. Step 6: Final answer
    x = 23,491.63

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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.