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Finding the Fourth Proportional to 49,909.88, 74,822.90 and 20,348.93

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Solution

The fourth proportional to 49,909.88, 74,822.90 and 20,348.93 is: 30,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909.88 : 74,822.90 = 20,348.93 : x
  2. Step 2: Convert to fraction form
    49,909.88/74,822.90 = 20,348.93/x
  3. Step 3: Cross multiply
    49,909.88x = 74,822.90 × 20,348.93
  4. Step 4: Simplify right side
    49,909.88x = 1,522,565,478.64
  5. Step 5: Solve for x
    x = 1,522,565,478.64/49,909.88
  6. Step 6: Final answer
    x = 30,506.30

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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.