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Finding the Fourth Proportional to 51,644, 71,268.72 and 29,288

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Solution

The fourth proportional to 51,644, 71,268.72 and 29,288 is: 40,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,644 : 71,268.72 = 29,288 : x
  2. Step 2: Convert to fraction form
    51,644/71,268.72 = 29,288/x
  3. Step 3: Cross multiply
    51,644x = 71,268.72 × 29,288
  4. Step 4: Simplify right side
    51,644x = 2,087,318,271.36
  5. Step 5: Solve for x
    x = 2,087,318,271.36/51,644
  6. Step 6: Final answer
    x = 40,417.44

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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.