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Finding the Fourth Proportional to 102,176.64, 140,993.46 and 56,847.42

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Solution

The fourth proportional to 102,176.64, 140,993.46 and 56,847.42 is: 78,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,176.64 : 140,993.46 = 56,847.42 : x
  2. Step 2: Convert to fraction form
    102,176.64/140,993.46 = 56,847.42/x
  3. Step 3: Cross multiply
    102,176.64x = 140,993.46 × 56,847.42
  4. Step 4: Simplify right side
    102,176.64x = 8,015,114,437.87
  5. Step 5: Solve for x
    x = 8,015,114,437.87/102,176.64
  6. Step 6: Final answer
    x = 78,443.71

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1.5x scale

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.