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Finding the Fourth Proportional to 51,065.70, 76,656.15 and 30,300.90

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Solution

The fourth proportional to 51,065.70, 76,656.15 and 30,300.90 is: 45,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065.70 : 76,656.15 = 30,300.90 : x
  2. Step 2: Convert to fraction form
    51,065.70/76,656.15 = 30,300.90/x
  3. Step 3: Cross multiply
    51,065.70x = 76,656.15 × 30,300.90
  4. Step 4: Simplify right side
    51,065.70x = 2,322,750,335.54
  5. Step 5: Solve for x
    x = 2,322,750,335.54/51,065.70
  6. Step 6: Final answer
    x = 45,485.53

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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.