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Finding the Fourth Proportional to 109,170, 163,780.92 and 35,298

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Solution

The fourth proportional to 109,170, 163,780.92 and 35,298 is: 52,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 163,780.92 = 35,298 : x
  2. Step 2: Convert to fraction form
    109,170/163,780.92 = 35,298/x
  3. Step 3: Cross multiply
    109,170x = 163,780.92 × 35,298
  4. Step 4: Simplify right side
    109,170x = 5,781,138,914.16
  5. Step 5: Solve for x
    x = 5,781,138,914.16/109,170
  6. Step 6: Final answer
    x = 52,955.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.