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Finding the Fourth Proportional to 78,194.60, 117,201.16 and 35,986.07

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Solution

The fourth proportional to 78,194.60, 117,201.16 and 35,986.07 is: 53,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194.60 : 117,201.16 = 35,986.07 : x
  2. Step 2: Convert to fraction form
    78,194.60/117,201.16 = 35,986.07/x
  3. Step 3: Cross multiply
    78,194.60x = 117,201.16 × 35,986.07
  4. Step 4: Simplify right side
    78,194.60x = 4,217,609,485.83
  5. Step 5: Solve for x
    x = 4,217,609,485.83/78,194.60
  6. Step 6: Final answer
    x = 53,937.35

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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.