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Finding the Fourth Proportional to 51,201.50, 76,802.25 and 12,289.50

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Solution

The fourth proportional to 51,201.50, 76,802.25 and 12,289.50 is: 18,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.50 : 76,802.25 = 12,289.50 : x
  2. Step 2: Convert to fraction form
    51,201.50/76,802.25 = 12,289.50/x
  3. Step 3: Cross multiply
    51,201.50x = 76,802.25 × 12,289.50
  4. Step 4: Simplify right side
    51,201.50x = 943,861,251.38
  5. Step 5: Solve for x
    x = 943,861,251.38/51,201.50
  6. Step 6: Final answer
    x = 18,434.25

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1.5x scale

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.