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Finding the Fourth Proportional to 57,263.79, 85,884.38 and 19,309.31

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Solution

The fourth proportional to 57,263.79, 85,884.38 and 19,309.31 is: 28,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,263.79 : 85,884.38 = 19,309.31 : x
  2. Step 2: Convert to fraction form
    57,263.79/85,884.38 = 19,309.31/x
  3. Step 3: Cross multiply
    57,263.79x = 85,884.38 × 19,309.31
  4. Step 4: Simplify right side
    57,263.79x = 1,658,368,173.33
  5. Step 5: Solve for x
    x = 1,658,368,173.33/57,263.79
  6. Step 6: Final answer
    x = 28,960.16

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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.