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Finding the Fourth Proportional to 50,801.76, 76,209.12 and 21,240

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Solution

The fourth proportional to 50,801.76, 76,209.12 and 21,240 is: 31,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,801.76 : 76,209.12 = 21,240 : x
  2. Step 2: Convert to fraction form
    50,801.76/76,209.12 = 21,240/x
  3. Step 3: Cross multiply
    50,801.76x = 76,209.12 × 21,240
  4. Step 4: Simplify right side
    50,801.76x = 1,618,681,708.80
  5. Step 5: Solve for x
    x = 1,618,681,708.80/50,801.76
  6. Step 6: Final answer
    x = 31,862.71

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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.