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Finding the Fourth Proportional to 57,192.75, 85,795.07 and 15,639.75

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Solution

The fourth proportional to 57,192.75, 85,795.07 and 15,639.75 is: 23,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192.75 : 85,795.07 = 15,639.75 : x
  2. Step 2: Convert to fraction form
    57,192.75/85,795.07 = 15,639.75/x
  3. Step 3: Cross multiply
    57,192.75x = 85,795.07 × 15,639.75
  4. Step 4: Simplify right side
    57,192.75x = 1,341,813,367.83
  5. Step 5: Solve for x
    x = 1,341,813,367.83/57,192.75
  6. Step 6: Final answer
    x = 23,461.25

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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.