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Finding the Fourth Proportional to 49,871.64, 74,807.07 and 12,431.46

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Solution

The fourth proportional to 49,871.64, 74,807.07 and 12,431.46 is: 18,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.64 : 74,807.07 = 12,431.46 : x
  2. Step 2: Convert to fraction form
    49,871.64/74,807.07 = 12,431.46/x
  3. Step 3: Cross multiply
    49,871.64x = 74,807.07 × 12,431.46
  4. Step 4: Simplify right side
    49,871.64x = 929,961,098.42
  5. Step 5: Solve for x
    x = 929,961,098.42/49,871.64
  6. Step 6: Final answer
    x = 18,647.09

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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.