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Finding the Fourth Proportional to 75,655.52, 104,410.16 and 54,147.28

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Solution

The fourth proportional to 75,655.52, 104,410.16 and 54,147.28 is: 74,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,655.52 : 104,410.16 = 54,147.28 : x
  2. Step 2: Convert to fraction form
    75,655.52/104,410.16 = 54,147.28/x
  3. Step 3: Cross multiply
    75,655.52x = 104,410.16 × 54,147.28
  4. Step 4: Simplify right side
    75,655.52x = 5,653,526,168.36
  5. Step 5: Solve for x
    x = 5,653,526,168.36/75,655.52
  6. Step 6: Final answer
    x = 74,727.21

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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.