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Finding the Fourth Proportional to 57,105, 85,657.50 and 15,552

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Solution

The fourth proportional to 57,105, 85,657.50 and 15,552 is: 23,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105 : 85,657.50 = 15,552 : x
  2. Step 2: Convert to fraction form
    57,105/85,657.50 = 15,552/x
  3. Step 3: Cross multiply
    57,105x = 85,657.50 × 15,552
  4. Step 4: Simplify right side
    57,105x = 1,332,145,440
  5. Step 5: Solve for x
    x = 1,332,145,440/57,105
  6. Step 6: Final answer
    x = 23,328

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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.