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Finding the Fourth Proportional to 51,189.44, 76,752.48 and 19,988

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Solution

The fourth proportional to 51,189.44, 76,752.48 and 19,988 is: 29,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,189.44 : 76,752.48 = 19,988 : x
  2. Step 2: Convert to fraction form
    51,189.44/76,752.48 = 19,988/x
  3. Step 3: Cross multiply
    51,189.44x = 76,752.48 × 19,988
  4. Step 4: Simplify right side
    51,189.44x = 1,534,128,570.24
  5. Step 5: Solve for x
    x = 1,534,128,570.24/51,189.44
  6. Step 6: Final answer
    x = 29,969.63

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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.