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Finding the Fourth Proportional to 109,489.30, 163,905.90 and 65,093.20

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Solution

The fourth proportional to 109,489.30, 163,905.90 and 65,093.20 is: 97,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489.30 : 163,905.90 = 65,093.20 : x
  2. Step 2: Convert to fraction form
    109,489.30/163,905.90 = 65,093.20/x
  3. Step 3: Cross multiply
    109,489.30x = 163,905.90 × 65,093.20
  4. Step 4: Simplify right side
    109,489.30x = 10,669,159,529.88
  5. Step 5: Solve for x
    x = 10,669,159,529.88/109,489.30
  6. Step 6: Final answer
    x = 97,444.77

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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.