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Finding the Fourth Proportional to 74,576.57, 102,892.49 and 42,305.87

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Solution

The fourth proportional to 74,576.57, 102,892.49 and 42,305.87 is: 58,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576.57 : 102,892.49 = 42,305.87 : x
  2. Step 2: Convert to fraction form
    74,576.57/102,892.49 = 42,305.87/x
  3. Step 3: Cross multiply
    74,576.57x = 102,892.49 × 42,305.87
  4. Step 4: Simplify right side
    74,576.57x = 4,352,955,579.92
  5. Step 5: Solve for x
    x = 4,352,955,579.92/74,576.57
  6. Step 6: Final answer
    x = 58,368.95

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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.