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Finding the Fourth Proportional to 74,129.91, 102,299.10 and 40,138.41

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Solution

The fourth proportional to 74,129.91, 102,299.10 and 40,138.41 is: 55,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129.91 : 102,299.10 = 40,138.41 : x
  2. Step 2: Convert to fraction form
    74,129.91/102,299.10 = 40,138.41/x
  3. Step 3: Cross multiply
    74,129.91x = 102,299.10 × 40,138.41
  4. Step 4: Simplify right side
    74,129.91x = 4,106,123,389.60
  5. Step 5: Solve for x
    x = 4,106,123,389.60/74,129.91
  6. Step 6: Final answer
    x = 55,390.91

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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.