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Finding the Fourth Proportional to 109,802.36, 164,805.60 and 43,288.40

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Solution

The fourth proportional to 109,802.36, 164,805.60 and 43,288.40 is: 64,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.36 : 164,805.60 = 43,288.40 : x
  2. Step 2: Convert to fraction form
    109,802.36/164,805.60 = 43,288.40/x
  3. Step 3: Cross multiply
    109,802.36x = 164,805.60 × 43,288.40
  4. Step 4: Simplify right side
    109,802.36x = 7,134,170,735.04
  5. Step 5: Solve for x
    x = 7,134,170,735.04/109,802.36
  6. Step 6: Final answer
    x = 64,972.84

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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.