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Finding the Fourth Proportional to 51,346.80, 77,020.20 and 16,289.20

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Solution

The fourth proportional to 51,346.80, 77,020.20 and 16,289.20 is: 24,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,346.80 : 77,020.20 = 16,289.20 : x
  2. Step 2: Convert to fraction form
    51,346.80/77,020.20 = 16,289.20/x
  3. Step 3: Cross multiply
    51,346.80x = 77,020.20 × 16,289.20
  4. Step 4: Simplify right side
    51,346.80x = 1,254,597,441.84
  5. Step 5: Solve for x
    x = 1,254,597,441.84/51,346.80
  6. Step 6: Final answer
    x = 24,433.80

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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.