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Finding the Fourth Proportional to 72,524.17, 100,082.91 and 40,693

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Solution

The fourth proportional to 72,524.17, 100,082.91 and 40,693 is: 56,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,524.17 : 100,082.91 = 40,693 : x
  2. Step 2: Convert to fraction form
    72,524.17/100,082.91 = 40,693/x
  3. Step 3: Cross multiply
    72,524.17x = 100,082.91 × 40,693
  4. Step 4: Simplify right side
    72,524.17x = 4,072,673,856.63
  5. Step 5: Solve for x
    x = 4,072,673,856.63/72,524.17
  6. Step 6: Final answer
    x = 56,156.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.