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Finding the Fourth Proportional to 78,661.20, 117,971.16 and 53,696.64

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Solution

The fourth proportional to 78,661.20, 117,971.16 and 53,696.64 is: 80,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,661.20 : 117,971.16 = 53,696.64 : x
  2. Step 2: Convert to fraction form
    78,661.20/117,971.16 = 53,696.64/x
  3. Step 3: Cross multiply
    78,661.20x = 117,971.16 × 53,696.64
  4. Step 4: Simplify right side
    78,661.20x = 6,334,654,908.90
  5. Step 5: Solve for x
    x = 6,334,654,908.90/78,661.20
  6. Step 6: Final answer
    x = 80,530.87

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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.