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Finding the Fourth Proportional to 109,935.20, 164,870.40 and 43,353.20

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Solution

The fourth proportional to 109,935.20, 164,870.40 and 43,353.20 is: 65,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,935.20 : 164,870.40 = 43,353.20 : x
  2. Step 2: Convert to fraction form
    109,935.20/164,870.40 = 43,353.20/x
  3. Step 3: Cross multiply
    109,935.20x = 164,870.40 × 43,353.20
  4. Step 4: Simplify right side
    109,935.20x = 7,147,659,425.28
  5. Step 5: Solve for x
    x = 7,147,659,425.28/109,935.20
  6. Step 6: Final answer
    x = 65,017.02

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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.