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Finding the Fourth Proportional to 76,771.86, 115,157.79 and 29,991.93

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Solution

The fourth proportional to 76,771.86, 115,157.79 and 29,991.93 is: 44,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.86 : 115,157.79 = 29,991.93 : x
  2. Step 2: Convert to fraction form
    76,771.86/115,157.79 = 29,991.93/x
  3. Step 3: Cross multiply
    76,771.86x = 115,157.79 × 29,991.93
  4. Step 4: Simplify right side
    76,771.86x = 3,453,804,376.63
  5. Step 5: Solve for x
    x = 3,453,804,376.63/76,771.86
  6. Step 6: Final answer
    x = 44,987.90

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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.