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Finding the Fourth Proportional to 80,423.64, 110,750.70 and 75,289.16

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Solution

The fourth proportional to 80,423.64, 110,750.70 and 75,289.16 is: 103,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,423.64 : 110,750.70 = 75,289.16 : x
  2. Step 2: Convert to fraction form
    80,423.64/110,750.70 = 75,289.16/x
  3. Step 3: Cross multiply
    80,423.64x = 110,750.70 × 75,289.16
  4. Step 4: Simplify right side
    80,423.64x = 8,338,327,172.41
  5. Step 5: Solve for x
    x = 8,338,327,172.41/80,423.64
  6. Step 6: Final answer
    x = 103,680.05

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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.