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Finding the Fourth Proportional to 76,771.84, 105,945.36 and 44,512.72

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Solution

The fourth proportional to 76,771.84, 105,945.36 and 44,512.72 is: 61,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.84 : 105,945.36 = 44,512.72 : x
  2. Step 2: Convert to fraction form
    76,771.84/105,945.36 = 44,512.72/x
  3. Step 3: Cross multiply
    76,771.84x = 105,945.36 × 44,512.72
  4. Step 4: Simplify right side
    76,771.84x = 4,715,916,144.98
  5. Step 5: Solve for x
    x = 4,715,916,144.98/76,771.84
  6. Step 6: Final answer
    x = 61,427.68

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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.