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Finding the Fourth Proportional to 109,812.30, 164,390.40 and 65,416.20

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Solution

The fourth proportional to 109,812.30, 164,390.40 and 65,416.20 is: 97,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,812.30 : 164,390.40 = 65,416.20 : x
  2. Step 2: Convert to fraction form
    109,812.30/164,390.40 = 65,416.20/x
  3. Step 3: Cross multiply
    109,812.30x = 164,390.40 × 65,416.20
  4. Step 4: Simplify right side
    109,812.30x = 10,753,795,284.48
  5. Step 5: Solve for x
    x = 10,753,795,284.48/109,812.30
  6. Step 6: Final answer
    x = 97,928.88

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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.