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Finding the Fourth Proportional to 42,776.60, 64,121.70 and 19,419.80

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Solution

The fourth proportional to 42,776.60, 64,121.70 and 19,419.80 is: 29,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.60 : 64,121.70 = 19,419.80 : x
  2. Step 2: Convert to fraction form
    42,776.60/64,121.70 = 19,419.80/x
  3. Step 3: Cross multiply
    42,776.60x = 64,121.70 × 19,419.80
  4. Step 4: Simplify right side
    42,776.60x = 1,245,230,589.66
  5. Step 5: Solve for x
    x = 1,245,230,589.66/42,776.60
  6. Step 6: Final answer
    x = 29,110.09

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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.