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Finding the Fourth Proportional to 51,281.60, 76,965.60 and 20,139.20

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Solution

The fourth proportional to 51,281.60, 76,965.60 and 20,139.20 is: 30,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281.60 : 76,965.60 = 20,139.20 : x
  2. Step 2: Convert to fraction form
    51,281.60/76,965.60 = 20,139.20/x
  3. Step 3: Cross multiply
    51,281.60x = 76,965.60 × 20,139.20
  4. Step 4: Simplify right side
    51,281.60x = 1,550,025,611.52
  5. Step 5: Solve for x
    x = 1,550,025,611.52/51,281.60
  6. Step 6: Final answer
    x = 30,225.77

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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.