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Finding the Fourth Proportional to 78,878.36, 108,667.14 and 54,961.64

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Solution

The fourth proportional to 78,878.36, 108,667.14 and 54,961.64 is: 75,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.36 : 108,667.14 = 54,961.64 : x
  2. Step 2: Convert to fraction form
    78,878.36/108,667.14 = 54,961.64/x
  3. Step 3: Cross multiply
    78,878.36x = 108,667.14 × 54,961.64
  4. Step 4: Simplify right side
    78,878.36x = 5,972,524,228.51
  5. Step 5: Solve for x
    x = 5,972,524,228.51/78,878.36
  6. Step 6: Final answer
    x = 75,718.16

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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.