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Finding the Fourth Proportional to 142,504.88, 196,651.32 and 78,845.36

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Solution

The fourth proportional to 142,504.88, 196,651.32 and 78,845.36 is: 108,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,504.88 : 196,651.32 = 78,845.36 : x
  2. Step 2: Convert to fraction form
    142,504.88/196,651.32 = 78,845.36/x
  3. Step 3: Cross multiply
    142,504.88x = 196,651.32 × 78,845.36
  4. Step 4: Simplify right side
    142,504.88x = 15,505,044,119.88
  5. Step 5: Solve for x
    x = 15,505,044,119.88/142,504.88
  6. Step 6: Final answer
    x = 108,803.60

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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.