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Finding the Fourth Proportional to 51,478.96, 77,223.84 and 16,420

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Solution

The fourth proportional to 51,478.96, 77,223.84 and 16,420 is: 24,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.96 : 77,223.84 = 16,420 : x
  2. Step 2: Convert to fraction form
    51,478.96/77,223.84 = 16,420/x
  3. Step 3: Cross multiply
    51,478.96x = 77,223.84 × 16,420
  4. Step 4: Simplify right side
    51,478.96x = 1,268,015,452.80
  5. Step 5: Solve for x
    x = 1,268,015,452.80/51,478.96
  6. Step 6: Final answer
    x = 24,631.72

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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.