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Finding the Fourth Proportional to 42,419.80, 63,629.70 and 41,447.80

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Solution

The fourth proportional to 42,419.80, 63,629.70 and 41,447.80 is: 62,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,419.80 : 63,629.70 = 41,447.80 : x
  2. Step 2: Convert to fraction form
    42,419.80/63,629.70 = 41,447.80/x
  3. Step 3: Cross multiply
    42,419.80x = 63,629.70 × 41,447.80
  4. Step 4: Simplify right side
    42,419.80x = 2,637,311,079.66
  5. Step 5: Solve for x
    x = 2,637,311,079.66/42,419.80
  6. Step 6: Final answer
    x = 62,171.70

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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.