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Finding the Fourth Proportional to 74,532.76, 102,856.82 and 40,998.76

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Solution

The fourth proportional to 74,532.76, 102,856.82 and 40,998.76 is: 56,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,532.76 : 102,856.82 = 40,998.76 : x
  2. Step 2: Convert to fraction form
    74,532.76/102,856.82 = 40,998.76/x
  3. Step 3: Cross multiply
    74,532.76x = 102,856.82 × 40,998.76
  4. Step 4: Simplify right side
    74,532.76x = 4,217,002,077.54
  5. Step 5: Solve for x
    x = 4,217,002,077.54/74,532.76
  6. Step 6: Final answer
    x = 56,579.18

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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.