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Finding the Fourth Proportional to 109,620, 164,435.40 and 35,748

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Solution

The fourth proportional to 109,620, 164,435.40 and 35,748 is: 53,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,620 : 164,435.40 = 35,748 : x
  2. Step 2: Convert to fraction form
    109,620/164,435.40 = 35,748/x
  3. Step 3: Cross multiply
    109,620x = 164,435.40 × 35,748
  4. Step 4: Simplify right side
    109,620x = 5,878,236,679.20
  5. Step 5: Solve for x
    x = 5,878,236,679.20/109,620
  6. Step 6: Final answer
    x = 53,623.76

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