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Finding the Fourth Proportional to 77,198.55, 115,830.94 and 29,846.90

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Solution

The fourth proportional to 77,198.55, 115,830.94 and 29,846.90 is: 44,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198.55 : 115,830.94 = 29,846.90 : x
  2. Step 2: Convert to fraction form
    77,198.55/115,830.94 = 29,846.90/x
  3. Step 3: Cross multiply
    77,198.55x = 115,830.94 × 29,846.90
  4. Step 4: Simplify right side
    77,198.55x = 3,457,194,483.09
  5. Step 5: Solve for x
    x = 3,457,194,483.09/77,198.55
  6. Step 6: Final answer
    x = 44,783.15

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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.