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Finding the Fourth Proportional to 78,054.64, 117,087 and 27,447.46

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Solution

The fourth proportional to 78,054.64, 117,087 and 27,447.46 is: 41,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054.64 : 117,087 = 27,447.46 : x
  2. Step 2: Convert to fraction form
    78,054.64/117,087 = 27,447.46/x
  3. Step 3: Cross multiply
    78,054.64x = 117,087 × 27,447.46
  4. Step 4: Simplify right side
    78,054.64x = 3,213,740,749.02
  5. Step 5: Solve for x
    x = 3,213,740,749.02/78,054.64
  6. Step 6: Final answer
    x = 41,172.96

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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.