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Finding the Fourth Proportional to 57,300, 85,952.16 and 17,856.96

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Solution

The fourth proportional to 57,300, 85,952.16 and 17,856.96 is: 26,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,300 : 85,952.16 = 17,856.96 : x
  2. Step 2: Convert to fraction form
    57,300/85,952.16 = 17,856.96/x
  3. Step 3: Cross multiply
    57,300x = 85,952.16 × 17,856.96
  4. Step 4: Simplify right side
    57,300x = 1,534,844,283.03
  5. Step 5: Solve for x
    x = 1,534,844,283.03/57,300
  6. Step 6: Final answer
    x = 26,786.11

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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.