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Finding the Fourth Proportional to 51,271.68, 76,917.78 and 21,689.40

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Solution

The fourth proportional to 51,271.68, 76,917.78 and 21,689.40 is: 32,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,271.68 : 76,917.78 = 21,689.40 : x
  2. Step 2: Convert to fraction form
    51,271.68/76,917.78 = 21,689.40/x
  3. Step 3: Cross multiply
    51,271.68x = 76,917.78 × 21,689.40
  4. Step 4: Simplify right side
    51,271.68x = 1,668,300,497.53
  5. Step 5: Solve for x
    x = 1,668,300,497.53/51,271.68
  6. Step 6: Final answer
    x = 32,538.44

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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.