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Finding the Fourth Proportional to 20,552,644.40, 30,819,635.40 and 7,768,900.40

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Solution

The fourth proportional to 20,552,644.40, 30,819,635.40 and 7,768,900.40 is: 11,649,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552,644.40 : 30,819,635.40 = 7,768,900.40 : x
  2. Step 2: Convert to fraction form
    20,552,644.40/30,819,635.40 = 7,768,900.40/x
  3. Step 3: Cross multiply
    20,552,644.40x = 30,819,635.40 × 7,768,900.40
  4. Step 4: Simplify right side
    20,552,644.40x = 239,434,677,786,914.16
  5. Step 5: Solve for x
    x = 239,434,677,786,914.16/20,552,644.40
  6. Step 6: Final answer
    x = 11,649,823.41

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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.