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Finding the Fourth Proportional to 51,300.40, 76,934.60 and 20,145.20

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Solution

The fourth proportional to 51,300.40, 76,934.60 and 20,145.20 is: 30,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,300.40 : 76,934.60 = 20,145.20 : x
  2. Step 2: Convert to fraction form
    51,300.40/76,934.60 = 20,145.20/x
  3. Step 3: Cross multiply
    51,300.40x = 76,934.60 × 20,145.20
  4. Step 4: Simplify right side
    51,300.40x = 1,549,862,903.92
  5. Step 5: Solve for x
    x = 1,549,862,903.92/51,300.40
  6. Step 6: Final answer
    x = 30,211.52

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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.