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Finding the Fourth Proportional to 51,204.80, 76,807.20 and 42,456.80

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Solution

The fourth proportional to 51,204.80, 76,807.20 and 42,456.80 is: 63,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.80 : 76,807.20 = 42,456.80 : x
  2. Step 2: Convert to fraction form
    51,204.80/76,807.20 = 42,456.80/x
  3. Step 3: Cross multiply
    51,204.80x = 76,807.20 × 42,456.80
  4. Step 4: Simplify right side
    51,204.80x = 3,260,987,928.96
  5. Step 5: Solve for x
    x = 3,260,987,928.96/51,204.80
  6. Step 6: Final answer
    x = 63,685.20

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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.