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Finding the Fourth Proportional to 56,741, 85,111.50 and 15,188

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Solution

The fourth proportional to 56,741, 85,111.50 and 15,188 is: 22,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,741 : 85,111.50 = 15,188 : x
  2. Step 2: Convert to fraction form
    56,741/85,111.50 = 15,188/x
  3. Step 3: Cross multiply
    56,741x = 85,111.50 × 15,188
  4. Step 4: Simplify right side
    56,741x = 1,292,673,462
  5. Step 5: Solve for x
    x = 1,292,673,462/56,741
  6. Step 6: Final answer
    x = 22,782

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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.