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Finding the Fourth Proportional to 230,015, 345,022.50 and 63,803

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Solution

The fourth proportional to 230,015, 345,022.50 and 63,803 is: 95,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,015 : 345,022.50 = 63,803 : x
  2. Step 2: Convert to fraction form
    230,015/345,022.50 = 63,803/x
  3. Step 3: Cross multiply
    230,015x = 345,022.50 × 63,803
  4. Step 4: Simplify right side
    230,015x = 22,013,470,567.50
  5. Step 5: Solve for x
    x = 22,013,470,567.50/230,015
  6. Step 6: Final answer
    x = 95,704.50

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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.