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Finding the Fourth Proportional to 140,419.52, 193,720.92 and 98,002.88

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Solution

The fourth proportional to 140,419.52, 193,720.92 and 98,002.88 is: 135,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,419.52 : 193,720.92 = 98,002.88 : x
  2. Step 2: Convert to fraction form
    140,419.52/193,720.92 = 98,002.88/x
  3. Step 3: Cross multiply
    140,419.52x = 193,720.92 × 98,002.88
  4. Step 4: Simplify right side
    140,419.52x = 18,985,208,076.25
  5. Step 5: Solve for x
    x = 18,985,208,076.25/140,419.52
  6. Step 6: Final answer
    x = 135,203.48

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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.