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Finding the Fourth Proportional to 42,302, 63,454.02 and 14,222.42

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Solution

The fourth proportional to 42,302, 63,454.02 and 14,222.42 is: 21,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,302 : 63,454.02 = 14,222.42 : x
  2. Step 2: Convert to fraction form
    42,302/63,454.02 = 14,222.42/x
  3. Step 3: Cross multiply
    42,302x = 63,454.02 × 14,222.42
  4. Step 4: Simplify right side
    42,302x = 902,469,723.13
  5. Step 5: Solve for x
    x = 902,469,723.13/42,302
  6. Step 6: Final answer
    x = 21,333.97

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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.