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Finding the Fourth Proportional to 48,644, 72,871.58 and 31,953.38

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Solution

The fourth proportional to 48,644, 72,871.58 and 31,953.38 is: 47,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644 : 72,871.58 = 31,953.38 : x
  2. Step 2: Convert to fraction form
    48,644/72,871.58 = 31,953.38/x
  3. Step 3: Cross multiply
    48,644x = 72,871.58 × 31,953.38
  4. Step 4: Simplify right side
    48,644x = 2,328,493,286.94
  5. Step 5: Solve for x
    x = 2,328,493,286.94/48,644
  6. Step 6: Final answer
    x = 47,868.05

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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.