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Finding the Fourth Proportional to 54,658.91, 81,988.36 and 31,268.94

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Solution

The fourth proportional to 54,658.91, 81,988.36 and 31,268.94 is: 46,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.91 : 81,988.36 = 31,268.94 : x
  2. Step 2: Convert to fraction form
    54,658.91/81,988.36 = 31,268.94/x
  3. Step 3: Cross multiply
    54,658.91x = 81,988.36 × 31,268.94
  4. Step 4: Simplify right side
    54,658.91x = 2,563,689,031.37
  5. Step 5: Solve for x
    x = 2,563,689,031.37/54,658.91
  6. Step 6: Final answer
    x = 46,903.41

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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.