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Finding the Fourth Proportional to 180,638.64, 271,050.48 and 85,975.92

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Solution

The fourth proportional to 180,638.64, 271,050.48 and 85,975.92 is: 129,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,638.64 : 271,050.48 = 85,975.92 : x
  2. Step 2: Convert to fraction form
    180,638.64/271,050.48 = 85,975.92/x
  3. Step 3: Cross multiply
    180,638.64x = 271,050.48 × 85,975.92
  4. Step 4: Simplify right side
    180,638.64x = 23,303,814,384.44
  5. Step 5: Solve for x
    x = 23,303,814,384.44/180,638.64
  6. Step 6: Final answer
    x = 129,007.92

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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.