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Finding the Fourth Proportional to 120,188.76, 165,861.30 and 65,741.24

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Solution

The fourth proportional to 120,188.76, 165,861.30 and 65,741.24 is: 90,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188.76 : 165,861.30 = 65,741.24 : x
  2. Step 2: Convert to fraction form
    120,188.76/165,861.30 = 65,741.24/x
  3. Step 3: Cross multiply
    120,188.76x = 165,861.30 × 65,741.24
  4. Step 4: Simplify right side
    120,188.76x = 10,903,927,530.01
  5. Step 5: Solve for x
    x = 10,903,927,530.01/120,188.76
  6. Step 6: Final answer
    x = 90,723.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.