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Finding the Fourth Proportional to 57,106, 85,659 and 15,553

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Solution

The fourth proportional to 57,106, 85,659 and 15,553 is: 23,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106 : 85,659 = 15,553 : x
  2. Step 2: Convert to fraction form
    57,106/85,659 = 15,553/x
  3. Step 3: Cross multiply
    57,106x = 85,659 × 15,553
  4. Step 4: Simplify right side
    57,106x = 1,332,254,427
  5. Step 5: Solve for x
    x = 1,332,254,427/57,106
  6. Step 6: Final answer
    x = 23,329.50

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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.