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Finding the Fourth Proportional to 57,309.12, 85,983.84 and 17,876.16

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Solution

The fourth proportional to 57,309.12, 85,983.84 and 17,876.16 is: 26,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.12 : 85,983.84 = 17,876.16 : x
  2. Step 2: Convert to fraction form
    57,309.12/85,983.84 = 17,876.16/x
  3. Step 3: Cross multiply
    57,309.12x = 85,983.84 × 17,876.16
  4. Step 4: Simplify right side
    57,309.12x = 1,537,060,881.25
  5. Step 5: Solve for x
    x = 1,537,060,881.25/57,309.12
  6. Step 6: Final answer
    x = 26,820.53

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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.