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Finding the Fourth Proportional to 84,642.69, 126,699.27 and 54,616.76

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Solution

The fourth proportional to 84,642.69, 126,699.27 and 54,616.76 is: 81,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.69 : 126,699.27 = 54,616.76 : x
  2. Step 2: Convert to fraction form
    84,642.69/126,699.27 = 54,616.76/x
  3. Step 3: Cross multiply
    84,642.69x = 126,699.27 × 54,616.76
  4. Step 4: Simplify right side
    84,642.69x = 6,919,904,278.48
  5. Step 5: Solve for x
    x = 6,919,904,278.48/84,642.69
  6. Step 6: Final answer
    x = 81,754.31

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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.