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Finding the Fourth Proportional to 54,810, 75,637.80 and 29,659.68

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Solution

The fourth proportional to 54,810, 75,637.80 and 29,659.68 is: 40,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810 : 75,637.80 = 29,659.68 : x
  2. Step 2: Convert to fraction form
    54,810/75,637.80 = 29,659.68/x
  3. Step 3: Cross multiply
    54,810x = 75,637.80 × 29,659.68
  4. Step 4: Simplify right side
    54,810x = 2,243,392,943.90
  5. Step 5: Solve for x
    x = 2,243,392,943.90/54,810
  6. Step 6: Final answer
    x = 40,930.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.