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Finding the Fourth Proportional to 141,859.56, 195,762.48 and 78,197.64

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Solution

The fourth proportional to 141,859.56, 195,762.48 and 78,197.64 is: 107,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,859.56 : 195,762.48 = 78,197.64 : x
  2. Step 2: Convert to fraction form
    141,859.56/195,762.48 = 78,197.64/x
  3. Step 3: Cross multiply
    141,859.56x = 195,762.48 × 78,197.64
  4. Step 4: Simplify right side
    141,859.56x = 15,308,163,936.55
  5. Step 5: Solve for x
    x = 15,308,163,936.55/141,859.56
  6. Step 6: Final answer
    x = 107,910.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.