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Finding the Fourth Proportional to 80,889.12, 111,683.88 and 56,741.40

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Solution

The fourth proportional to 80,889.12, 111,683.88 and 56,741.40 is: 78,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,889.12 : 111,683.88 = 56,741.40 : x
  2. Step 2: Convert to fraction form
    80,889.12/111,683.88 = 56,741.40/x
  3. Step 3: Cross multiply
    80,889.12x = 111,683.88 × 56,741.40
  4. Step 4: Simplify right side
    80,889.12x = 6,337,099,708.63
  5. Step 5: Solve for x
    x = 6,337,099,708.63/80,889.12
  6. Step 6: Final answer
    x = 78,343.04

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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.