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Finding the Fourth Proportional to 76,278.20, 114,384.90 and 36,847.40

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Solution

The fourth proportional to 76,278.20, 114,384.90 and 36,847.40 is: 55,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278.20 : 114,384.90 = 36,847.40 : x
  2. Step 2: Convert to fraction form
    76,278.20/114,384.90 = 36,847.40/x
  3. Step 3: Cross multiply
    76,278.20x = 114,384.90 × 36,847.40
  4. Step 4: Simplify right side
    76,278.20x = 4,214,786,164.26
  5. Step 5: Solve for x
    x = 4,214,786,164.26/76,278.20
  6. Step 6: Final answer
    x = 55,255.45

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1.5x scale

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.