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Finding the Fourth Proportional to 78,066, 117,109.08 and 35,935.92

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Solution

The fourth proportional to 78,066, 117,109.08 and 35,935.92 is: 53,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066 : 117,109.08 = 35,935.92 : x
  2. Step 2: Convert to fraction form
    78,066/117,109.08 = 35,935.92/x
  3. Step 3: Cross multiply
    78,066x = 117,109.08 × 35,935.92
  4. Step 4: Simplify right side
    78,066x = 4,208,422,530.15
  5. Step 5: Solve for x
    x = 4,208,422,530.15/78,066
  6. Step 6: Final answer
    x = 53,908.52

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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.