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Finding the Fourth Proportional to 78,571.12, 116,968.16 and 78,104.16

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Solution

The fourth proportional to 78,571.12, 116,968.16 and 78,104.16 is: 116,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571.12 : 116,968.16 = 78,104.16 : x
  2. Step 2: Convert to fraction form
    78,571.12/116,968.16 = 78,104.16/x
  3. Step 3: Cross multiply
    78,571.12x = 116,968.16 × 78,104.16
  4. Step 4: Simplify right side
    78,571.12x = 9,135,699,883.55
  5. Step 5: Solve for x
    x = 9,135,699,883.55/78,571.12
  6. Step 6: Final answer
    x = 116,273.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.