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Finding the Fourth Proportional to 51,524, 77,283.46 and 30,188.80

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Solution

The fourth proportional to 51,524, 77,283.46 and 30,188.80 is: 45,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,524 : 77,283.46 = 30,188.80 : x
  2. Step 2: Convert to fraction form
    51,524/77,283.46 = 30,188.80/x
  3. Step 3: Cross multiply
    51,524x = 77,283.46 × 30,188.80
  4. Step 4: Simplify right side
    51,524x = 2,333,094,917.25
  5. Step 5: Solve for x
    x = 2,333,094,917.25/51,524
  6. Step 6: Final answer
    x = 45,281.71

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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.