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Finding the Fourth Proportional to 42,001, 63,013.80 and 12,419.60

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Solution

The fourth proportional to 42,001, 63,013.80 and 12,419.60 is: 18,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001 : 63,013.80 = 12,419.60 : x
  2. Step 2: Convert to fraction form
    42,001/63,013.80 = 12,419.60/x
  3. Step 3: Cross multiply
    42,001x = 63,013.80 × 12,419.60
  4. Step 4: Simplify right side
    42,001x = 782,606,190.48
  5. Step 5: Solve for x
    x = 782,606,190.48/42,001
  6. Step 6: Final answer
    x = 18,633.04

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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.