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Finding the Fourth Proportional to 142,104.64, 196,104.44 and 78,442.48

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Solution

The fourth proportional to 142,104.64, 196,104.44 and 78,442.48 is: 108,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.64 : 196,104.44 = 78,442.48 : x
  2. Step 2: Convert to fraction form
    142,104.64/196,104.44 = 78,442.48/x
  3. Step 3: Cross multiply
    142,104.64x = 196,104.44 × 78,442.48
  4. Step 4: Simplify right side
    142,104.64x = 15,382,918,612.61
  5. Step 5: Solve for x
    x = 15,382,918,612.61/142,104.64
  6. Step 6: Final answer
    x = 108,250.64

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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.