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Finding the Fourth Proportional to 42,797.88, 64,204.86 and 19,425.96

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Solution

The fourth proportional to 42,797.88, 64,204.86 and 19,425.96 is: 29,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,797.88 : 64,204.86 = 19,425.96 : x
  2. Step 2: Convert to fraction form
    42,797.88/64,204.86 = 19,425.96/x
  3. Step 3: Cross multiply
    42,797.88x = 64,204.86 × 19,425.96
  4. Step 4: Simplify right side
    42,797.88x = 1,247,241,042.17
  5. Step 5: Solve for x
    x = 1,247,241,042.17/42,797.88
  6. Step 6: Final answer
    x = 29,142.59

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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.