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Finding the Fourth Proportional to 109,236.74, 163,952.74 and 55,965

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Solution

The fourth proportional to 109,236.74, 163,952.74 and 55,965 is: 83,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,236.74 : 163,952.74 = 55,965 : x
  2. Step 2: Convert to fraction form
    109,236.74/163,952.74 = 55,965/x
  3. Step 3: Cross multiply
    109,236.74x = 163,952.74 × 55,965
  4. Step 4: Simplify right side
    109,236.74x = 9,175,615,094.10
  5. Step 5: Solve for x
    x = 9,175,615,094.10/109,236.74
  6. Step 6: Final answer
    x = 83,997.52

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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.